Free Printable Integration QUIZ 2 (definite integral)

Worksheets

Name

Class

Date

∫_₀^²(3x² - 2x)dx ?

-8

-4

Given that $y=\frac{3\ln\left(x^2+4\right)}{2}$ and $\frac{dy}{dx}=\frac{3x}{x^2+4}$ , find $\int_1^2\ \frac{3x}{x^2+4}dx$

$\frac{3}{2}\ln\ \frac{8}{5}$

$\frac{3}{2}\ln\ \frac{5}{8}$

$-\frac{3}{2}\ln\ \frac{8}{5}$

$\ln\ 3$

a. 43

b. 130/3

c. 40

d. 19/3

Evaluate the definite integral.

9/2

-9/2

Find the area of the shaded region.

$-2\frac{1}{3}unit^2$

$-4\frac{1}{3}unit^2$

$4\frac{1}{3}unit^2$

$2\ \frac{1}{3}unit^2$

Which of the following is true for the area of shaded region in the diagram above?

$\int_0^2y^2dx$

$\int_0^2xdx$

$\int_0^2y^2dy$

$\int_0^2\sqrt{x}dx$

100 %

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