Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Indefinite Integration

Question:

$\int\limits^{1}_{0}(x^3+3x^2)e^xdx=$

Options:

0

$e$

$2e$

$3e$

Correct Answer:

$e$

Explanation:

The correct answer is Option (2) → $e$

$\int\limits^{1}_{0}(x^3+3x^2)e^xdx$

as $\int e^x(f(x)+f'(x))dx=e^xf(x)+e$

$⇒I=\int\limits^{1}_{0}e^x(x^3+3x^2)dx=[e^xx^3]^{1}_{0}$

$=e$