Techniques of antidifferentiation

Practice Questions

AP Calculus AB › Techniques of antidifferentiation

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1

A jogger leaves City at. His subsequent position, in feet, is given by the function:

$x(t) = 5t^{2} - 3t + 2$ ,

where is the time in minutes.

Find the velocity of the jogger at 15 minutes.

2

Integrate:

$\int 7x^4 \sin(3x^5)dx$

3

Integrate:

$\int 7x^4 \sin(3x^5)dx$

4

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

5

Given , find the general form for the antiderivative .

6

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

7

Given , find the general form for the antiderivative .

8

Find the antiderivative of the following.

$\sec^2(x)$

9

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

10

Integrate,

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

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