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Popular >

integral from-4 to 4 of (6-|x|)

Solution

\int_{- 4}^{4} (6 - ∣ x ∣) d x

Solution

32

Solution steps

\int_{- 4}^{4} 6 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 4}^{0} 6 - (- x) d x + \int_{0}^{4} 6 - x d x

\int_{- 4}^{0} 6 - (- x) d x = 16

\int_{0}^{4} 6 - x d x = 16

= 16 + 16

Simplify

= 32

Graph

Popular Examples

integral from-2 to 0 of 11/6 x^3

\int_{- 2}^{0} \frac{11}{6} x^{3} d x

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\int_{- 6}^{6} 64 - x^{2} d x

integral from-1 to 2 of 2|x|

\int_{- 1}^{2} 2 ∣ x ∣ d x

integral from 0 to 2 of 4e^{4x}

\int_{0}^{2} 4 e^{4 x} d x

integral from 0 to pi/2 of 5e^xcos^2(x)

\int_{0}^{\frac{π}{2}} 5 e^{x} cos^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of (6-|x|) ?
The integral from-4 to 4 of (6-|x|) is 32