Question

The value of $\int\frac{1+x^4}{1+x^6}dx$ is

• A. tan-1 x + tan-1 x3 + C
• B. tan-1 x + $\frac{1}{3}$tan-1 x3 + C
• C. tan-1 x - $\frac{1}{3}$tan-1 x3 + C
• D. tan-1 x + $\frac{1}{3}$tan-1 x2 + C

Answer 1

Answer: (B)

tan-1 x + $\frac{1}{3}$tan-1 x3 + C

Answer 2

The correct answer is (B) : tan-1 x + $\frac{1}{3}$tan-1 x3 + C.