Question

The value of \(\int\frac{x^2dx}{\sqrt{x^6+a^6}}\) is equal to

• A. \(\log|x^3+\sqrt{x^6+a^6}|+c\)
• B. \(\log|x^3-\sqrt{x^6+a^6}|+c\)
• C. \(\frac{1}{3}\log|x^3+\sqrt{x^6+a^6}|+c\)
• D. \(\frac{1}{3}\log|x^3-\sqrt{x^6+a^6}|+c\)

Answer 1

The Correct Option is D

The correct answer is (D) : \(\frac{1}{3}\log|x^3-\sqrt{x^6+a^6}|+c\).