Q. If $\int_{}^{}{\frac{1}{x\sqrt{1 - x^{3}}}\ dx = a\log{\left| \frac{\sqrt{1 - x^{2}} - 1}{\sqrt{1 - x^{2}} + 1} \right| + b}}$ , then $a$ is equal to
A) $\frac{1}{3}$
B) $\frac{2}{3}$
C) $- \frac{1}{3}$
D) $- \frac{2}{3}$
Explanation
The correct answer is Option A: $\frac{1}{3}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.