What is the integral from 0 to pi of |x| ?

The integral from 0 to pi of |x| is (pi^2)/2

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integral from 0 to pi of |x|

\int_{0}^{π} ∣ x ∣ d x

\frac{π ^{2}}{2}

Solution steps

\int_{0}^{π} ∣ x ∣ d x

Eliminate Absolutes

= \int_{0}^{π} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{π}

= [\frac{x ^{2}}{2}]_{0}^{π}

Compute the boundaries:

\frac{π ^{2}}{2}

= \frac{π ^{2}}{2}

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

\int_{0}^{2} e^{- s t} t d t

\int_{0}^{3} 6 e^{2 x} d x

\int_{- 2}^{3} 7 d x

\int_{1}^{6} (7 x + 1) d x

What is the integral from 0 to pi of |x| ?
The integral from 0 to pi of |x| is (pi^2)/2