Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

\(\int \frac{x^2}{1+x^2}dx=\)

Options:

\(x+\tan^{-1}x+c\)

\(x^2+\tan^{-1}x+c\)

\(x-\tan^{-1}x+c\)

\(x^2-\tan^{-1}x+c\)

Correct Answer:

\(x-\tan^{-1}x+c\)

Explanation:

\(\frac{x^2}{1+x^2}=1-\frac{1}{1+x^2}\)