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Popular >

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

Solution

\int_{- 3}^{3} (4 - ∣ x ∣) d x

Solution

15

Solution steps

\int_{- 3}^{3} 4 - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= \frac{15}{2} + \frac{15}{2}

Simplify

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

= 15

Graph

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\int_{0}^{8} \frac{x}{25 + 3 x} d x

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\int_{i}^{\frac{i}{2}} e^{π z} d z

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\int_{0}^{\frac{π}{4}} x sin^{2} (x) d x

integral from 1 to 4 of ln(y)

\int_{1}^{4} ln (y) d y

integral from 0 to 3 of (-2x^2+4x)

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

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of (4-|x|) ?
The integral from-3 to 3 of (4-|x|) is 15