Sunday, September 18, 2022

$x.e^{x^2}$ integral | What is integral of x.e^(x^2) ?

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You can reach integral of $x.e^{x^2}$ solutions.



What is integral of $x.e^{x^2}$ ?


x.e^x2 integrate solution



Solution:

$\int x.e^{x^2}dx=?$

Substituting $u = x^2$ and $\frac{1}{2} du = x.dx$, you get

$\int x.e^{x^2}dx=\frac{1}{2}\int e^u = \frac{1}{2}e^u+C=\frac{1}{2}e^{x^2}+C$

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