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

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

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integral from-pi to 0 of-x

\int_{- π}^{0} - x d x

\frac{π ^{2}}{2}

Decimal

4.93480 \dots

Solution steps

\int_{- π}^{0} - x d x

Take the constant out:

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

= - \int_{- π}^{0} x d x

Apply the Power Rule

= - [\frac{x ^{2}}{2}]_{- π}^{0}

Compute the boundaries:

- \frac{π ^{2}}{2}

= - (- \frac{π ^{2}}{2})

Simplify

= \frac{π ^{2}}{2}

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