\(\int x^2e^{x^3}dx\)
Answer & explanation
Correct answer: option 3
Put \(x^3=t\)
$ 3x^2 dx = dt \Rightarrow x^2 dx = \frac{dt}{3}$
$ I = \frac{1}{3} \int{e^t dt} = \frac{e^t}{3} + C= \frac{e^{x^3}}{3}+ C$
\(\int x^2e^{x^3}dx\)
Correct answer: option 3
Put \(x^3=t\)
$ 3x^2 dx = dt \Rightarrow x^2 dx = \frac{dt}{3}$
$ I = \frac{1}{3} \int{e^t dt} = \frac{e^t}{3} + C= \frac{e^{x^3}}{3}+ C$