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Home › TS EAMCET › Mathematics › Integral Calculus › With t = x^2, the integral of x e^(x^2) on [0, 1…

With t = x^2, the integral of x e^(x^2) on [0, 1] gives

Ae - 1
B(e + 1)/2
C(e - 1)/2
De/2
Answer & Solution
Correct answer: C. (e - 1)/2
Putting t = x^2 changes the limits to 0 and 1 and gives (1/2) times the integral of e^t, which is (e - 1)/2.
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