" (i) "(tan(1+log x))/(x)

int(tan(1+log x))/(x) dx

int(tan(1+log x))/(x) dx

(i) int (1+ tan x)/(x +log sec x) dx (ii) int (1+ cot x)/(x+log sin x) dx.

(d)/(dx)[a tan^(-1)x+b log((x-1)/(x+1))]=(1)/(x^(4)-1)rArr a-2b=

Integration of 1/(1+((log)_e x)^2) with respect to (log)_e x is (tan^(-1)((log)_e x)/x)+C (b) tan^(-1)((log)_e x)+C (c) (tan^(-1)x)/x+C (d) none of these

Integration of (1)/(1+((log)_(e)x)^(2)) with respect to (log)_(e)x is ((tan^(-1)((log)_(e)x))/(x)+C(b)tan^(-1)((log)_(e)x)+C(c)(tan^(-1)x)/(x)+C(d) none of these

Evaluate: (i) int(1+tan x)/(x+log sec x)dx (ii) int(sin2x)/(a^(2)+b^(2)sin^(2)x)dx

Evaluate: (i) int tan x sec^(2)x sqrt(1-tan^(2)x)dx (ii) int log x(sin{1+(log x)^(2)})/(x)dx