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Popular >

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

Solution

\int_{- 2}^{4} (- 2 ∣ x ∣) d x

Solution

- 20

Solution steps

\int_{- 2}^{4} - 2 ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= - 4 - 16

Simplify

= - 20

Popular Examples

integral from-pi/2 to pi/2 of-sin^2(t)

\int_{- \frac{π}{2}}^{\frac{π}{2}} - sin^{2} (t) d t

integral from 1 to 3 of x^2+3

\int_{1}^{3} x^{2} + 3 d x

integral from 0 to a of 10xsqrt(a^2-x^2)

\int_{0}^{a} 10 x a^{2} - x^{2} d x

integral from 1 to infinity of 4e^{-4x}

\int_{1}^{\infty} 4 e^{- 4 x} d x

integral from 3 to 2 of 1

\int_{3}^{2} 1

Frequently Asked Questions (FAQ)

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