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

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

\int_{π}^{2 π} \int_{0}^{π} sin (x) + cos (y) d x d y

2 π

Decimal Notation

6.28318 \dots

Solution steps

\int_{π}^{2 π} \int_{0}^{π} sin (x) + cos (y) d x d y

\int_{0}^{π} sin (x) + cos (y) d x = π cos (y) + 2

= \int_{π}^{2 π} (π cos (y) + 2) d y

\int_{π}^{2 π} (π cos (y) + 2) d y = 2 π

= 2 π

\int \int 2

\int \int \frac{1}{x + y} d x d y

\int \int \int 0 d x d y d z

\int \int 1 - x^{2} d x d x

\int \int (x + y + 1) d x d y

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