Antiderivatives by substitution of variables

Practice Questions

AP Calculus AB › Antiderivatives by substitution of variables

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1

Integrate:

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

2

Calculate the following integral: $\int \frac{5}{1+25x^{2}}dx$

3

Integrate:

$\int( x^4+x^2+xe^{x^2})dx$

4

$\int2\tan(x)\sec^2(x)=$

5

Calculate the following integral: $\int sin^{5}xcosxdx$

6

Evaluate the integral $\int \frac{2x[\ln(x^2-4)]^5}{x^2-4}dx$

7

Evaluate the integral $\int \frac{-2 \sin(1/x^2)e^{-\cos(1/x^2)}}{x}dx$

8

Integrate:

$\int \frac{dx}{\sqrt{25-6x^2}}$

9

Integrate:

$\int \frac{dx}{2+5x^2}$

10

Calculate:

$\int_{-1}^{1} 3^{x} ; \mathrm{d} x$

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