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

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

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integral from 0 to pi of pi-x

\int_{0}^{π} π - x d x

π^{2} - \frac{π ^{2}}{2}

Decimal Notation

4.93480 \dots

Solution steps

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

\int_{0}^{π} π d x = π^{2}

\int_{0}^{π} x d x = \frac{π ^{2}}{2}

= π^{2} - \frac{π ^{2}}{2}

\int_{0}^{8} x^{2} - 6 x + 5 d x

\int_{- 1}^{2} x^{3} - x^{2} - 2 x d x

\int_{0}^{2 x} x y^{3} d y

\int_{0}^{y} (x + y)^{2} d x

\int_{0}^{4} (x - 1)^{2} d x

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