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

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

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integral from-pi to 0 of x-pi

\int_{- π}^{0} x - π d x

- \frac{π ^{2}}{2} - π^{2}

Decimal

- 14.80440 \dots

Solution steps

\int_{- π}^{0} x - π d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- π}^{0} x d x - \int_{- π}^{0} π d x

\int_{- π}^{0} x d x = - \frac{π ^{2}}{2}

\int_{- π}^{0} π d x = π^{2}

= - \frac{π ^{2}}{2} - π^{2}

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