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Popular >

integral from-2 to 3 of (4-|x|)

Solution

\int_{- 2}^{3} (4 - ∣ x ∣) d x

Solution

\frac{27}{2}

+1

Decimal

13.5

Solution steps

\int_{- 2}^{3} 4 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 2}^{0} 4 - (- x) d x + \int_{0}^{3} 4 - x d x

\int_{- 2}^{0} 4 - (- x) d x = 6

\int_{0}^{3} 4 - x d x = \frac{15}{2}

= 6 + \frac{15}{2}

Simplify

6 + \frac{15}{2} : \frac{27}{2}

= \frac{27}{2}

Graph

Popular Examples

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\int_{0}^{1} cos (\frac{π θ}{2}) d θ

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\int_{1}^{1} tan (x) d x

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\int_{2}^{3} (e^{2 x} + e^{x}) d x

integral from 0 to pi of xcos((npix)/pi)

\int_{0}^{π} x cos (\frac{nπ x}{π}) d x

integral from 0 to 3 of 1/(x^4+1)

\int_{0}^{3} \frac{1}{x ^{4} + 1} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of (4-|x|) ?
The integral from-2 to 3 of (4-|x|) is 27/2