[" (iii) cos "x" log tan "(x)/(2)" ."],[" (i) "sin sqrt(x)]

If int cos x log (tan""(x)/(2))dx = sin x log (tan""(x)/(2)) + f(x) then f(x) is equal to, (assuming c is a arbitrary real constant)

x=a(cos t + log tan (t/2)), y =a sin t

x=a(cos t + log tan t/2), y =a sin t

Evaluate: (i) int(sec x)/(log(sec x+tan x)dx) (ii) int(cos ecx)/((log tan x)/(2))dx

(i)log(x+(1)/(x))" "(ii)log sin3x" "(iii)log(x+sqrt(1+x^(2)))

If int (1)/(sin x + sqrt(3) cos x) dx = A log | tan f (x) | + C then A , f(x) =

int (ln (tan x)) / (sin x cos x) dx

Evaluate (i) int_(0)^(pi//2)(d x)/(1+sqrt(tan x)) (ii) int_(0)^(pi//2) log (tan x ) d x (iii) int_(0)^(pi//4) log (1+tan x ) d x (iv) int_(0)^(pi//2)(sin x- cos x)/(1+ sin x cos x)d x