Quiz about What integration technique?

Question 1

ln x

Accepted Answer

Integration by parts

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Question 2

What method? $$\csc^2\ x$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 3

$$\sin\ x\ \cos\ x$$

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 4

$$\left(4x-16\right)^{12}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 5

$$x^2\ \cos\ 5x$$

Accepted Answer

Integration by parts

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Question 6

$$\frac{1}{\sec\ 4x}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 7

$$\frac{2x}{x^2+1}$$

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 8

$$\frac{1}{x^2-25}$$

Accepted Answer

Partial Fractions

Answer

Standard integrals & reverse chain rule

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 9

$$e^{-4x}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 10

$$e^{-9x-3}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 11

$$	an\ x$$

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 12

$$\cos\left(-x\right)$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 13

$$\cot^2\left(x+1\right)$$

Accepted Answer

Trigonometric identities

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

u' f(u) substitution

Answer

Integration by parts

Question 14

$$\sin^2x$$

Accepted Answer

Trigonometric identities

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

u' f(u) substitution

Answer

Integration by parts

Question 15

$$x^5\ \ln\ 2x$$

Accepted Answer

Integration by parts

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Question 16

$$e^{\left(7x-1\right)}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 17

$$\left(4x-1\right)^4$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 18

$$\left(11x+\pi\ \right)^3$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 19

$$\sec^2x\ \ an^2x\ ,\ \ \ \ u= an x$$

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 20

$$\frac{5x}{x^2+10}$$

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 21

$$2^x$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 22

$$\frac{1}{\sin^2\ 7x}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 23

$$\csc^2\ \left(5x+\pi\ \right)$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 24

$$\frac{1}{\left(x+3\right)^2}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 25

$$\left(x^2\right)^4$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 26

$$-\sec^2\ \pi x$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 27

$$e^{x-4}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 28

$$\ln\left(2x+1\right)$$

Accepted Answer

Integration by parts

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Question 29

$$x\ \ln x$$

Accepted Answer

Integration by parts

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Question 30

$$\frac{1}{\cos^25x}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 31

$$\frac{1}{\left(x+2\right)\left(2x-1\right)}$$

Accepted Answer

Partial Fractions

Answer

Standard integrals & reverse chain rule

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 32

$$e^{\cos x}\ \sin x$$

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 33

$$\csc^2\left(\sqrt{\ 3}x\right)$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 34

$$\left(\sqrt{\ 2}+4x\right)^5$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 35

tan(3x+2)

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 36

cot x

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 37

$$\sqrt[3]{x}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 38

$$x\ e^x$$

Accepted Answer

Integration by parts

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Question 39

$$ an^2\left(2x ight)$$

Accepted Answer

Trigonometric identities

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

u' f(u) substitution

Answer

Integration by parts

Question 40

$$7e^{\left(4-2x\right)}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 41

$$\frac{\sin x}{\cos\left(x\right)+4}$$

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 42

$$\frac{5}{25x^2-4}$$

Accepted Answer

Partial Fractions

Answer

Standard integrals & reverse chain rule

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 43

$$\cos x\ \sin^7x$$

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 44

$$\sin^2\left(\frac{x}{4}\right)$$

Accepted Answer

Trigonometric identities

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

u' f(u) substitution

Answer

Integration by parts

Question 45

$$\frac{1}{2x-1}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 46

$$\frac{2}{x-7}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 47

$$\frac{\sec^23x}{ an3x}$$

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 48

$$\frac{5}{4x^2-1}$$

Accepted Answer

Partial Fractions

Answer

Standard integrals & reverse chain rule

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 49

$$\sec^2x$$

Accepted Answer

Trigonometric identities

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

u' f(u) substitution

Answer

Integration by parts

Question 50

$$5^x$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 51

$$\cot7x$$

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 52

$$\cos^2x$$

Accepted Answer

Trigonometric identities

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

u' f(u) substitution

Answer

Integration by parts

Question 53

$$e^{3x}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 54

$$\csc^2x$$

Accepted Answer

Trigonometric identities

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

u' f(u) substitution

Answer

Integration by parts

Question 55

$$\cot^2x$$

Accepted Answer

Trigonometric identities

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

u' f(u) substitution

Answer

Integration by parts

Question 56

$$\sin\left(\frac{1}{5}x\right)$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 57

$$x\ \csc^2x$$

Accepted Answer

Integration by parts

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Question 58

$$x\ e^{-x}$$

Accepted Answer

Integration by parts

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Question 59

$$x^5\ \ln x$$

Accepted Answer

Integration by parts

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Question 60

$$\csc^2\left(-5x\right)$$

Accepted Answer

Trigonometric identities

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

u' f(u) substitution

Answer

Integration by parts

Question 61

$$\frac{10}{2x-1}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 62

$$\frac{5x^2}{x^3-9}$$

Accepted Answer

u' f(u) substitution

Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

Integration by parts

Question 63

cos(2x-1)

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

Question 64

$$\frac{1}{x+5}$$

Accepted Answer

Standard integrals & reverse chain rule

Answer

Partial Fractions

Answer

Trigonometric identities

Answer

u' f(u) substitution

Answer

Integration by parts

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