Question

$\int \frac { d x } { x \left( x ^ { n } + 1 \right) }$ is equal to

• A.
• B. -
• C. log_e
• D. None of these

Answer 1

Answer: (B)

-

Answer 2

Let I = = $\int \frac { d x } { x ^ { n + 1 } \left( 1 + \frac { 1 } { x ^ { n } } \right) }$ .

If $\left( 1 + \frac { 1 } { x ^ { n } } \right) = p$, then $- \frac { n } { x ^ { n + 1 } } d x = d p$ ⇒ I = -

=