What is the integral of xe^{x^{2-1}} ?

The integral of xe^{x^{2-1}} is e^xx-e^x+C

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integral of xe^{x^{2-1}}

\int x e^{x^{2 - 1}} d x

e^{x} x - e^{x} + C

Solution steps

\int x e^{x^{2 - 1}} d x

Simplify

= \int e^{x} x d x

Apply Integration By Parts

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

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

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

= e^{x} x - e^{x}

Add a constant to the solution

= e^{x} x - e^{x} + C

1 - 7 x^{2} \frac{d y}{d x} = x

(2 x y^{4} - 2 x y) d x - (3 + 3 x^{2}) d y = 0

x \to 1 lim (\frac{x ^{2} - x}{x - 1})

\frac{d y}{d x} = \frac{x - 2}{x}

\frac{\partial}{\partial y} (\frac{2 y}{( x + y ) ^{2}})

What is the integral of xe^{x^{2-1}} ?
The integral of xe^{x^{2-1}} is e^xx-e^x+C