i solved ODE with Lagrange method and got stuck with integral(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int x^2 e^{\frac{1}{2}x^2+x} dx[/tex]

i couldnt solve it with any method but combined and got the answer that it is

[tex]\int x^2 e^{\frac{1}{2}x^2+x} dx=C+(x-1)e^{\frac{1}{2}x^2+x}[/tex]

the problem is that i want to do it with proper method, and show how it comes out. My mentor said that these types of integrals are "freaky" with little twist

Anyway, i dont mind some advice

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# Exponent integral problem

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