integral from 0 to 2 of integral from 0 to 1 of xye^{xy^2}

Lösung

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

\frac{e ^{2} - 3}{2}

Dezimale

2.19452 \dots

Schritte zur Lösung

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

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

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

\int_{0}^{2} \frac{1}{2} (e^{x} - 1) d x = \frac{e ^{2} - 3}{2}

= \frac{e ^{2} - 3}{2}

\int \frac{1}{x ^{2} + 11} d x

\frac{d P}{d t} = (\frac{P}{5}) (lo g_{e} (\frac{3000}{P}))

\frac{\partial}{\partial x} (6 y^{5} sin (3 x))

d er i v a t i v e y = (x^{2} + 5 x + 2)^{3}

x \to \frac{c}{2 ^{-}} lim ([2 x - 4])