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Integrate the following functions x/e^(x^2) |
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Answer» SOLUTION :Let `x^2 = t. Then DT = 2X dx `gt xdx = (dt)/2` therefore` int x/e^(x^2) dx = int x e^(-x^2) dx` =`int e^(-1) (dt)/2 = 1/2 xx e^(-1)/(-1) +c` =`-1/2 e^(-1)+c = -1/2 e^(-x^2) +c` =`-1/(2e^(x^2) +c` |
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