Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

$\int \frac{1}{x^2\left(x^4+1\right)^{\frac{3}{4}}} dx$ is equal to:

Options:

$\left(1+\frac{1}{x^4}\right)^{\frac{1}{4}}+C$

$-\left(1+\frac{1}{x^4}\right)^{\frac{1}{4}}+C$

$\left(1+x^4\right)^{\frac{1}{4}}+C$

$-\left(1+x^4\right)^{\frac{1}{4}}+C$

Correct Answer:

$-\left(1+\frac{1}{x^4}\right)^{\frac{1}{4}}+C$

Explanation:

The correct answer is Option (2) → $-\left(1+\frac{1}{x^4}\right)^{\frac{1}{4}}+C$