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

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

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integral from 0 to pi/2 of picos(x)

\int_{0}^{\frac{π}{2}} π cos (x) d x

π

Decimal Notation

3.14159 \dots

Solution steps

\int_{0}^{\frac{π}{2}} π cos (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= π \cdot \int_{0}^{\frac{π}{2}} cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= π [sin (x)]_{0}^{\frac{π}{2}}

Compute the boundaries:

1

= π 1

Simplify

= π

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\int_{2}^{4} sin (x) d x

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\int_{3}^{9} e^{x} d x

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