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Using the substitution u = x², the integral of x times e to the power x² becomes which function of x?

Ae^(x²)/2 + C
Bx²e^(x²) + C
Ce^(x²) + C
D2e^(x²) + C
Answer & Solution
Correct answer: A. e^(x²)/2 + C
Putting u = x² gives du = 2x dx, so the integral is half of e^u.
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