What is the integral from 0 to pi/2 of x ?

The integral from 0 to pi/2 of x is (pi^2)/8

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integral from 0 to pi/2 of x

\int_{0}^{\frac{π}{2}} x d x

\frac{π ^{2}}{8}

Decimal

1.23370 \dots

Solution steps

\int_{0}^{\frac{π}{2}} x d x

Apply the Power Rule

= [\frac{x ^{2}}{2}]_{0}^{\frac{π}{2}}

Compute the boundaries:

\frac{π ^{2}}{8}

= \frac{π ^{2}}{8}

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

\int_{1}^{\infty} x^{2} e^{- x} d x

\int_{- 2}^{3} e^{\frac{x}{2}} d x

\int_{0}^{1} x ln (1 + x) d x

\int_{\frac{π}{2}}^{π} x sin (x) d x

What is the integral from 0 to pi/2 of x ?
The integral from 0 to pi/2 of x is (pi^2)/8