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

The integral of xe^{x^{2+1}} is

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

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

Solution steps

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

Apply Integration By Parts

: \frac{1}{2} e^{x^{3}} x^{2} - \int \frac{3}{2} e^{x^{3}} x^{4} d x

= \frac{1}{2} e^{x^{3}} x^{2} - \int \frac{3}{2} e^{x^{3}} x^{4} d x

Add a constant to the solution

\int (1 0^{x} + 3 e^{2 x} + x^{- 3}) d x

\int \frac{x ^{3}}{3} + \frac{1}{4 x} d x

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

\int cos^{7} (4 x) sin^{4} (4 x) d x

\int t ln (t - 1) d t