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

Lösung

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

- 4

Schritte zur Lösung

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

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

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

\int_{0}^{π} (sin (y + π) - sin (y)) d y = - 4

= - 4

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

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