Antiderivatives following directly from derivatives of basic functions

Practice Questions

AP Calculus AB › Antiderivatives following directly from derivatives of basic functions

Page 1 of 5

10 of 42

1

Find the antiderivative of the following.

$\sec^2(x)$

2

Given , find the general form for the antiderivative .

3

Determine the value of $\int_{0}^{2}\sqrt{9x^2+12x+4} dx$ .

4

Integrate,

$\int[x^2 +\sin(x)-3]dx$

5

$\begin{align*}&\text{Evaluate the integral: }\&\int_{8}^{11.5}(\frac{(27cos(x + 1))}{8})dx\end{align*}$

6

Integrate:

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

7

Calculate the following integral.

$\int4sin(t)-12cos(t)+3t^2dt$

8

Solve:

$\int \frac{dx}{12+9x^2}$

9

Evaluate the following integral

$\int (3x^3+2x-5 )dx$

10

Calculate the integral in the following expression:

$\int(e^2)^{\ln 3x}dx$

Page 1 of 5

Return to subject