JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int x^3 e^{x^2} d x=

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Correct option: C

\frac{1}{2}\left(x^2-1\right) e^{x^2}+c

Option C is correct because the integral of x³ e^(x²) dx is found using substitution and integration by parts, resulting in 1/2(x^2-1)e^(x²) + c.

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