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}

\frac{π}{4}

Decimal Notation

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_{0}^{1} \frac{x + 1}{x ^{2} + 2 x + 2} d x

\int_{0}^{1} 2 e^{- t} d t

\int_{- 1}^{7} \frac{x ^{2}}{x ^{3} + 1} d x

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

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