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

Lösung

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

2 π

Dezimale

6.28318 \dots

Schritte zur Lösung

\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

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