What is the integral from 0 to pi/2 of 1/2 ?

The integral from 0 to pi/2 of 1/2 is pi/4

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integral from 0 to pi/2 of 1/2

\int_{0}^{\frac{π}{2}} \frac{1}{2} d x

\frac{π}{4}

Decimal

0.78539 \dots

Solution steps

\int_{0}^{\frac{π}{2}} \frac{1}{2} d x

Integral of a constant:

\int a d x = a x

= [\frac{1}{2} x]_{0}^{\frac{π}{2}}

Compute the boundaries:

\frac{π}{4}

= \frac{π}{4}

\int_{1}^{4} 7 x + x d x

\int_{0}^{2} x^{4} d x

\int_{0}^{\infty} e^{5 x} d x

\int_{1}^{3} (2 - x) e^{x} d x

\int_{0}^{1} x^{\frac{1}{5}} - x d x

What is the integral from 0 to pi/2 of 1/2 ?
The integral from 0 to pi/2 of 1/2 is pi/4