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Determine : `int x*e^(x^2) dx`
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We have to determine `int x*e^(x^2) dx`
Let `y = x^2` , `dy/dx = 2x` => x*dx = (1/2)*dy
=> `int e^y*(1/2) dy`
=> `e^y/2 + C`
Substitute y = x^2
=> `e^(x^2)/2 + C`
The required integral is `e^(x^2)/2 + C`
Posted by justaguide on November 9, 2011 at 10:46 PM (Answer #1)
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