$\int {{x^2}{e^{{x^3}}}dx}$ equals
$\int {{x^2}{e^{{x^3}}}dx}$ equals
Official Solution
VVidaara Team
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NCERT & Exemplar
Option a is correct
Let $I = \int {{x^2}{e^{{x^3}}}} dx$
Put ${x^3} = t$ $\Rightarrow$ $3{x^2}dx = dt$
$\therefore$ $I = \cfrac{1}{3}\int {{e^t}dt} = \cfrac{1}{3}{e^t} + C = \cfrac{1}{3}{e^{{x^3}}} + C$
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