Sunday, 3 November 2013

calculus - (Parameter Choice) Using Differentiation under integral for ex2

I have the integral:




ex2dx




And I’d like to solve it using differentiation under the integral sign. I understand that I must convert ex2 to ex2g(x,t), where g(x,t) is just some term involving a new parameter t. I tried multiplying by e2xt, which doesn’t really seem very logical, however, I just do not know what to put. How do I find the appropriate term to make the whole process work?

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