What is the integral from 0 to pi of (sin(x)+cos(y)) ?

The integral from 0 to pi of (sin(x)+cos(y)) is picos(y)+2

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integral from 0 to pi of (sin(x)+cos(y))

\int_{0}^{π} (sin (x) + cos (y)) d x

π cos (y) + 2

Solution steps

\int_{0}^{π} sin (x) + cos (y) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{π} cos (y) d x + \int_{0}^{π} sin (x) d x

\int_{0}^{π} cos (y) d x = π cos (y)

\int_{0}^{π} sin (x) d x = 2

= π cos (y) + 2

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