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Home › CBSE Class 12 (Commerce) › Mathematics › Integrals › Evaluate the integral over [0, 1] of x e^(x^2).

Evaluate the integral over [0, 1] of x e^(x^2).

Ae - 1
B(e - 1)/2
Ce/2
De^2 - 1
Answer & Solution
Correct answer: B. (e - 1)/2
Put t = x^2 so the integral is (1/2) times the integral of e^t from 0 to 1, which is (e - 1)/2.
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