Understand the Fundamental Theorem of Calculus

Practice Questions

Calculus AB › Understand the Fundamental Theorem of Calculus

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10 of 20

1

Evaluate $\int_1^x\frac{2}{t^2}dt$ .

2

Evaluate $\int_1^x\frac{2}{t^2}dt$ .

3

Evaluate the indefinite integral:

$\int_0^{\frac{\pi}{4}} \tan(x)\sec^2(x)dx$

4

Evaluate the indefinite integral:

$\int_0^{\frac{\pi}{4}} \tan(x)\sec^2(x)dx$

5

Using the Fundamental Theorem of Calculus and simplify completely solve the integral.

$\int_{3}^{6}\frac{dx}{x}$

6

Using the Fundamental Theorem of Calculus and simplify completely solve the integral.

$\int_{3}^{6}\frac{dx}{x}$

7

Evaluate the following indefinite integral:

$\int4t^3-6sin(t) dt$

8

Evaluate the following indefinite integral:

$\int4t^3-6sin(t) dt$

9

$\frac{d}{dx}\int_{0}^{sinx}(1-t^2)dt=?$

10

$\frac{d}{dx}\int_{0}^{sinx}(1-t^2)dt=?$

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