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_{0}^{\frac{2}{3}} \int_{y}^{2 - 2 y} (x + 2 y) e^{(y - x)} d x d y

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

\int_{0}^{4} \int_{x}^{2} sin (y^{3}) d y d x

\int \int \int x d x d x d x

\int_{0}^{\frac{1}{16}} \int_{y^{\frac{1}{4}}}^{\frac{1}{2}} cos (16 π x^{5}) 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