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Popular >

integral from-1 to 1 of x(1-|x|)

Solution

\int_{- 1}^{1} x (1 - ∣ x ∣) d x

Solution

0

Solution steps

\int_{- 1}^{1} x (1 - ∣ x ∣) d x

Eliminate Absolutes

= \int_{- 1}^{0} x (1 - (- x)) d x + \int_{0}^{1} x (1 - x) d x

\int_{- 1}^{0} x (1 - (- x)) d x = - \frac{1}{6}

\int_{0}^{1} x (1 - x) d x = \frac{1}{6}

= - \frac{1}{6} + \frac{1}{6}

Simplify

= 0

Graph

Popular Examples

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\int_{1}^{4} 6 d x

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\int_{1}^{s i n (x)} 5 t^{4} d t

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\int_{1}^{2} \frac{1}{u ^{3}} d u

integral from 0 to 1 of x*sin(x^2)

\int_{0}^{1} x \cdot sin (x^{2}) d x

integral from 0 to 1 of (ln(x))

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x(1-|x|) ?
The integral from-1 to 1 of x(1-|x|) is 0