What is the integral of xe^{y^3} ?

The integral of xe^{y^3} is x(-(y\Gamma(1/3 ,-y^3))/(3\sqrt[3]{-y^3)})+C

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integral of xe^{y^3}

\int x e^{y^{3}} d y

Solution steps

\int x e^{y^{3}} d y

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= x \cdot \int e^{y^{3}} d y

Use the nonelementary integral:

Add a constant to the solution

P = x^{3} - 5 x, (1, - 4)

cos (\frac{1 - e ^{8 x}}{1 + e ^{8 x}})

f (x) = (x^{2} + 3 x + 5) e^{6 x}

\frac{d}{d t} (2 - 2 t)

\int \frac{csc ^{2} ( x )}{cot ^{2} ( x )} d x

What is the integral of xe^{y^3} ?
The integral of xe^{y^3} is x(-(y\Gamma(1/3 ,-y^3))/(3\sqrt[3]{-y^3)})+C