Question

$\int\frac{(\sqrt{x^2+1)}[log(x^2+1)-2log\,x]}{x^4}dx$is equal to

• A. $\frac{1}{3}\left(1+\frac{1}{x^2}\right)^{1/2}\left[log(1+\frac{1}{x^2}+\frac{2}{3}\right]+c$
• B. $-\frac{1}{3}\left(1+\frac{1}{x^2}\right)^{3/2}\left[log(1+\frac{1}{x^2}-\frac{2}{3}\right]+c$
• C. $\frac{2}{3}\left(1+\frac{1}{x^2}\right)^{3/2}\left[log(1+\frac{1}{x^2}+\frac{2}{3}\right]+c$
• D. none of these

Answer 1

Answer: (B)

Correct answer is (b) $-\frac{1}{3}\left(1+\frac{1}{x^2}\right)^{3/2}\left[log(1+\frac{1}{x^2}-\frac{2}{3}\right]+c$