x² e^{x³ dx equals - NCERT Class XII Mathematics Chapter -

NCERT Class XII Mathematics Chapter - - Solutions

Choose the correct answer in Exercises 156 and 157.

Question : 156 of 271

Marks: +1, -0

\int x^2 e^{x^3} dx

equals

Solution:

Let

I = \int x^2 e^{x^3} dx

Put

x^3 = t

\Rightarrow 3x^2 dx = dt

\therefore I = \frac{1}{3} \int e^t dt

=\frac{1}{3}e^t+C

=\frac{1}{3}e^{x^3}+C

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