`int(cos4x-1)/(cotx-tanx)dx` is equal to (A) `1/2ln|sec2x|-1/4cos^2 2x+c` (B) `1/2ln|sec2x|+1/4cos^2x+c` (C) `1/2ln|cos2x|-1/4cos^2 2x+c` (D) `1/2ln|cos2x|+1/4cos^2x+c`

int(cos4x-1)/(cot x-tan x)dx is equal to (A)(1)/(2)ln|sec2x|-(1)/(4)cos^(2)2x+c(B)(1)/(2)ln|sec2x|+(1)/(4)cos^(2)x+c(C)(1)/(2)ln|cos2x|-(1)/(4)cos^(2)2x+c(D)(1)/(2)ln|cos2x|+(1)/(4)cos^(2)x+c

int(secxcosecx)/(2cotx-secxcosecx)dx is equal to a) log|secx+tanx|+c b) log|secx+cosecx|+c c) (1)/(2)log|sec2x+tan2x|+c d) log|sec2x+cosec2x|+c

intsqrt(1+2cotx(cotx+cos e cx))dx is equal to (A) 2I n(cos x/2)+c (B) 2ln(s in x/2)+c (C) 1/2ln(cos x/2)+c (D) 1/2ln(s in x/2)+c

lim_(x->oo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 (b) 1 (c) 1/3 (d) 1/2

int(ln(tanx)/(sinxcosx)dx is equal to (a) 1/2ln(tanx)+c (b) 1/2ln(tan^2x)+c (c) 1/2(ln(tanx))^2+c (d) none of these

int( cos 2 x)/(sin x+cos x)^2 d x is equal to a) -1/(sin x+cos x)+C b) log |sin x+cos x|+C c) log |sin x-cos x|+C d) 1(sin x+cos x)^2

int(ln((x-1)/(x+1)))/(x^2-1)dx is equal to (a) 1/2(ln((x-1)/(x+1)))^2+C (b) 1/2(ln((x+1)/(x-1)))^2+C (c) 1/4(ln((x-1)/(x+1)))^2+C (d) 1/4(ln((x+1)/(x-1)))^2+C

int(ln((x-1)/(x+1)))/(x^2-1)dx is equal to (a) 1/2(ln((x-1)/(x+1)))^2+C (b) 1/2(ln((x+1)/(x-1)))^2+C (c) 1/4(ln((x-1)/(x+1)))^2+C (d) 1/4(ln((x+1)/(x-1)))^2+C

int(ln((x-1)/(x+1)))/(x^2-1)dx is equal to (a) 1/2(ln((x-1)/(x+1)))^2+C (b) 1/2(ln((x+1)/(x-1)))^2+C (c) 1/4(ln((x-1)/(x+1)))^2+C (d) 1/4(ln((x+1)/(x-1)))^2+C

int sqrt(1+2cot x(cot x+cos ecx))dx is equal to (A) 2In((cos x)/(2))+c(B)2ln(s in(x)/(2))+c(C)(1)/(2)ln((cos x)/(2))+c(D)(1)/(2)ln(s in(x)/(2))+c