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$\int\limits^{1}_{0}(x^3+3x^2)e^xdx=$ |
0 $e$ $2e$ $3e$ |
$e$ |
The correct answer is Option (2) → $e$ $\int\limits^{1}_{0}(x^3+3x^2)e^xdx$ as $\int e^x(f(x)+f'(x))dx=e^xf(x)+e$ $⇒I=\int\limits^{1}_{0}e^x(x^3+3x^2)dx=[e^xx^3]^{1}_{0}$ $=e$ |
