Question

If $\int \frac{2x^{2}+a^{2}}{x^{2}(x^{2}+a^{2})} dx = \frac{k}{x} + \frac{1}{a} \tan^{-1} \frac{x}{a} + c$ then $k =$

• A. 0
• B. -1
• C. 1
• D. $1/a$

Hint:

Splitting fractions is often much faster than using the partial fractions formula.

Answer 1

The Correct Option is B