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}

Decimal

- 4.93480 \dots

Solution steps

\int_{0}^{π} - x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \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}

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