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

Answer: (D)

$\frac{1}{3}\log|x^3-\sqrt{x^6+a^6}|+c$

Answer 2

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