Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Indefinite Integration

Question:

$∫\frac{x^3}{x+1}dx$ is equal to

Options:

$x-\frac{x^2}{2}+\frac{x^3}{3}-log |1+x|+c$

$x+\frac{x^2}{2}-\frac{x^3}{3}-log |1-x|+c$

$x-\frac{x^2}{2}-\frac{x^3}{3}-log |1+x|+c$

$x+\frac{x^2}{2}+\frac{x^3}{3}-log |1-x|+c$

Correct Answer:

$x-\frac{x^2}{2}+\frac{x^3}{3}-log |1+x|+c$