integral from 0 to 1 of integral from 0 to y of xye^{x^2}

Lösung

\int_{0}^{1} \int_{0}^{y} x y e^{x^{2}} d x d y

\frac{e - 2}{4}

Dezimale

0.17957 \dots

Schritte zur Lösung

\int_{0}^{1} \int_{0}^{y} x y e^{x^{2}} d x d y

\int_{0}^{y} x y e^{x^{2}} d x = \frac{y ( e ^{y^{2}} - 1 )}{2}

= \int_{0}^{1} \frac{y ( e ^{y^{2}} - 1 )}{2} d y

\int_{0}^{1} \frac{y ( e ^{y^{2}} - 1 )}{2} d y = \frac{e - 2}{4}

= \frac{e - 2}{4}

\int \int e^{x} d x d x

\int \int (x^{3} y + cos (x)) d x d y

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

\int \int 2

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