∫(x^2 + cos^2 x)/(x^2 + 1) cosec2 x dx is … (a) cot x + sin^-1 x + c (b) -cot x + tan^-1 x + c (c) -tan x + cot^-1 x + c

Question

\(\frac{x^2+cos^2x}{x^2+1}cosec^2xdx\) is …

(a) cot x + sin^-1 x + c 

(b) -cot x + tan^-1 x + c 

(c) -tan x + cot^-1 x + c 

(d) -cot x – tan^-1 x + c

Answer 1

(d) -cot x – tan^-1 x + c

\(\frac{x^2+cos^2x}{x^2+1}cosec^2xdx\)