What is the integral from 0 to 2 of integral from 0 to 1 of xye^{xy^2} ?

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

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

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

Decimal Notation

2.19452 \dots

Solution steps

\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))

y = (x^{2} + 5 x + 2)^{3}

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

What is the integral from 0 to 2 of integral from 0 to 1 of xye^{xy^2} ?
The integral from 0 to 2 of integral from 0 to 1 of xye^{xy^2} is (e^2-3)/2