Quiz about Indefinite Integral Formulas

Question 1

What is the indefinite integral of $$x^2$$ with respect to $$x$$ ?

Accepted Answer

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

Answer

$$2x + C$$

Answer

$$x^3 + C$$

Answer

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

Question 2

Find the indefinite integral: $$\int e^x dx$$

Accepted Answer

$$e^x + C$$

Answer

$$xe^x + C$$

Answer

$$\ln|x| + C$$

Answer

$$e^{x+1} + C$$

Question 3

Evaluate $$\int \frac{1}{x} dx$$

Accepted Answer

$$\ln|x| + C$$

Answer

$$x + C$$

Answer

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

Answer

$$e^x + C$$

Question 4

Evaluate $$\int \frac{1}{x} dx$$

Accepted Answer

$$\ln|x| + C$$

Answer

$$x + C$$

Answer

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

Answer

$$e^x + C$$

Question 5

What is $$\int \cos x \, dx$$ ?

Accepted Answer

$$\sin x + C$$

Answer

$$-\sin x + C$$

Answer

$$\cos x + C$$

Answer

$$-\cos x + C$$

Question 6

What is $$\int \cos x \, dx$$ ?

Accepted Answer

$$\sin x + C$$

Answer

$$-\sin x + C$$

Answer

$$\cos x + C$$

Answer

$$-\cos x + C$$

Question 7

Find the indefinite integral: $$\int \sin x \, dx$$

Accepted Answer

$$-\cos x + C$$

Answer

$$\cos x + C$$

Answer

$$-\sin x + C$$

Answer

$$\sin x + C$$

Question 8

Find the indefinite integral: $$\int \sin x \, dx$$

Accepted Answer

$$-\cos x + C$$

Answer

$$\cos x + C$$

Answer

$$-\sin x + C$$

Answer

$$\sin x + C$$

Question 9

Evaluate $$\int \sec^2 x \, dx$$

Accepted Answer

$$ an x + C$$

Answer

$$- an x + C$$

Answer

$$\sec x + C$$

Answer

$$-\sec x + C$$

Question 10

Evaluate $$\int \sec^2 x \, dx$$

Accepted Answer

$$ an x + C$$

Answer

$$- an x + C$$

Answer

$$\sec x + C$$

Answer

$$-\sec x + C$$

Question 11

What is the indefinite integral of $$a^x$$ with respect to $$x$$ (where $$a > 0$$ , $$a eq 1$$ )?

Accepted Answer

$$\frac{a^x}{\ln a} + C$$

Answer

$$a^x + C$$

Answer

$$\ln a^x + C$$

Answer

$$x a^x + C$$

Question 12

What is the indefinite integral of $$a^x$$ with respect to $$x$$ (where $$a > 0$$ , $$a eq 1$$ )?

Accepted Answer

$$\frac{a^x}{\ln a} + C$$

Answer

$$a^x + C$$

Answer

$$\ln a^x + C$$

Answer

$$x a^x + C$$

Question 13

Find $$\int \frac{1}{1 + x^2} dx$$

Accepted Answer

$$\arctan x + C$$

Answer

$$\arcsin x + C$$

Answer

$$\ln|x| + C$$

Answer

$$e^x + C$$

Question 14

Evaluate $$\int \frac{1}{\sqrt{1 - x^2}} dx$$

Accepted Answer

$$\arcsin x + C$$

Answer

$$\arctan x + C$$

Answer

$$\arccos x + C$$

Answer

$$\ln|x| + C$$

Question 15

Find the indefinite integral: $$\int x^n dx$$ where $$n eq -1$$

Accepted Answer

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

Answer

$$\frac{1}{n}x^{n-1} + C$$

Answer

$$x^n + C$$

Answer

$$\ln|x| + C$$

Question 16

What is the indefinite integral of $$\ln x$$ with respect to $$x$$ ?

Accepted Answer

$$x \ln x - x + C$$

Answer

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

Answer

$$\ln|x| + C$$

Answer

$$x \ln x + C$$

Question 17

What is the indefinite integral of $$\ln x$$ with respect to $$x$$ ?

Accepted Answer

$$x \ln x - x + C$$

Answer

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

Answer

$$\ln|x| + C$$

Answer

$$x \ln x + C$$

Question 18

Evaluate $$\int \csc^2 x \, dx$$

Accepted Answer

$$-\cot x + C$$

Answer

$$-\csc x + C$$

Answer

$$\csc x + C$$

Answer

$$ an x + C$$

Question 19

Evaluate $$\int \csc^2 x \, dx$$

Accepted Answer

$$-\cot x + C$$

Answer

$$-\csc x + C$$

Answer

$$\csc x + C$$

Answer

$$ an x + C$$

Question 20

Find the indefinite integral: $$\int \frac{1}{x^2 + 1} dx$$

Accepted Answer

$$\arctan x + C$$

Answer

$$\arcsin x + C$$

Answer

$$\ln|x| + C$$

Answer

$$e^x + C$$

Question 21

What is the indefinite integral of $$\sec x an x$$ with respect to $$x$$ ?

Accepted Answer

$$\sec x + C$$

Answer

$$\ln| an x| + C$$

Answer

$$ an x + C$$

Answer

$$\ln|\sec x| + C$$

Question 22

What is the indefinite integral of $$\sec x an x$$ with respect to $$x$$ ?

Accepted Answer

$$\sec x + C$$

Answer

$$\ln| an x| + C$$

Answer

$$ an x + C$$

Answer

$$\ln|\sec x| + C$$

Question 23

What is the indefinite integral of $$\csc x\cot x$$ with respect to $$x$$ ?

Accepted Answer

$$-\csc x+C$$

Answer

$$\ln|\cot x|+C$$

Answer

$$\cot x+C$$

Answer

$$\ln|\csc x|+C$$

Question 24

What is the indefinite integral of $$\csc x\cot x$$ with respect to $$x$$ ?

Accepted Answer

$$-\csc x+C$$

Answer

$$\ln|\cot x|+C$$

Answer

$$\cot x+C$$

Answer

$$\ln|\csc x|+C$$

Indefinite Integral Formulas

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics