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

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

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integral from 0 to pi of (2cos(x))

\int_{0}^{π} (2 cos (x)) d x

0

Solution steps

\int_{0}^{π} 2 cos (x) d x

Take the constant out:

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

= 2 \cdot \int_{0}^{π} cos (x) d x

Use the common integral:

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

= 2 [sin (x)]_{0}^{π}

Compute the boundaries:

0

= 2 \cdot 0

Simplify

= 0

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