Free Printable Basic of Integration

1.

$\int\left(x^2-2x\right)dx$

a)

$\frac{1}{3}x^3-x^2+C$

b)

$x^{2\ }-2x+C$

c)

$2x-2$

d)

$\frac{1}{3}x^3-x^2$

2.

$\int6x\left(x+2\right)dx$

a)

$6x^2+12x+C$

b)

$x^{2\ }-2x+C$

c)

$3x^2+6x+C$

d)

$2x^3+6x^2+C$

3.

$\int\left(6\sqrt{x}-1\right)dx$

a)

$6x^{\frac{3}{2}}+x+C$

b)

$4x^{\frac{3}{2}}-x+C$

c)

$3x^{-\frac{1}{2}}-x+C$

d)

I didn't look at my notes to see how to do this one.

4.

$\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx$

a)

$-x^{-1}-3x^{-2}+C$

b)

$\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C$

c)

$-x^{-1}-3x^{-2}$

d)

$-x-3x^2+C$

5.

∫(cos x + 3x²)dx =

a)

-sin x + x³ + c

b)

sinx + x³ + c

c)

-sin x + 6x

d)

🌞

6.

$\int e^{3x}dx$

a)

$e^{3x}+C$

b)

$\frac{e^{3x+1}}{3x+1}+C$

c)

$\frac{e^{4x}}{4}+C$

d)

$\frac{1}{3}e^{3x}+C$

7.

$\int4\sin\left(-x\right)dx$

a)

$4\cos\left(x\right)+C$

b)

$-4\sin\left(-x\right)+C$

c)

$4\cos\left(-x\right)+C$

d)

$-4\cos\left(-x\right)+C$

8.

$\int\left(5\sqrt{x^3}-16e^{-4x}+\frac{1}{x}\right)dx$

a)

$2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C$

b)

$5x^{\frac{1}{3}}-4e^{-4x}+1+C$

c)

$\frac{5}{2}x^{\frac{3}{2}}-16e^{-4x}+\ln\left|x\right|+C$

d)

Got lazy with fake answers

9.

$\int\left(x^{-1}-1\right)dx$

a)

$\ln\left|x\right|-x+C$

b)

$\frac{x^{-2}}{-2}-x+C$

c)

$\ln\left|x\right|-1+C$

d)

$1-x+C$

10.

$\int0dx$

a)

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

b)

$Not\ Possible$

c)

$x+C$

d)

$C$

Basic of Integration

Total questions: 10

Worksheet time: 5mins

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