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Popular >

integral from-4 to 2 of (-2|x|)

Solution

\int_{- 4}^{2} (- 2 ∣ x ∣) d x

Solution

- 20

Solution steps

\int_{- 4}^{2} - 2 ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 4}^{0} - 2 (- x) d x + \int_{0}^{2} - 2 x d x

\int_{- 4}^{0} - 2 (- x) d x = - 16

\int_{0}^{2} - 2 x d x = - 4

= - 16 - 4

Simplify

= - 20

Graph

Popular Examples

integral from-3 to 3 of 36-4x^2

\int_{- 3}^{3} 36 - 4 x^{2} d x

integral from 1 to 3 of 1/2 (3^2-1^2)

\int_{1}^{3} \frac{1}{2} (3^{2} - 1^{2}) d x

integral from 0 to 1 of (ln(x+1))/(x^2)

\int_{0}^{1} \frac{ln ( x + 1 )}{x ^{2}} d x

integral from 0 to pi/4 of (3cos^2(θ))/2

\int_{0}^{\frac{π}{4}} \frac{3 cos ^{2} ( θ )}{2} d θ

integral from 2 to 6 of 2/x-4/(x^2)

\int_{2}^{6} \frac{2}{x} - \frac{4}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 2 of (-2|x|) ?
The integral from-4 to 2 of (-2|x|) is -20