Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

The value of the integral $I=\int e^x\left(\tan ^{-1} x+\frac{1}{1+x^2}\right) d x$ is:

Options:

$\frac{e^x}{1+x^2}+C$, where C is a constant

$e^x \tan ^{-1} x+C$, where C is a constant

$\frac{1}{1+x^2}+C$, where C is a constant

$\tan ^{-1} x+C$, where C is a constant

Correct Answer:

$e^x \tan ^{-1} x+C$, where C is a constant

Explanation:

The correct answer is Option (2) - $e^x \tan ^{-1} x+C$, where C is a constant