[ 41.int(dx)/(cos x-sin x) is equal to- [ (A) (1)/(sqrt(2))log|tan((x)/(2)-(pi)/(8))|+C (B) (1)/(sqrt(2))log|cot((x)/(2))|+C (C) (1)/(sqrt(2))log|tan((x)/(2)-(3 pi)/(8))|+C (D) (1)/(sqrt(2))log|tan((x)/(2)+(3 pi)/(8))|+C]]

int(dx)/(cosx-sinx) is equal to a) (1)/(sqrt(2))log|tan(pi/2-pi/8)|+c b) (1)/(sqrt(2))log|cot(x/2)|+c c) (1)/(sqrt(2))log|tan(pi/2-(3pi)/(8))|+c d) (1)/(sqrt(2))log|tan(x/2+(3pi)/(8))|+c

intdx/(cosx-sinx) is equal to (A) 1/sqrt(2)log|tan(x/2-(3x)/8)|+C (B) 1/sqrt(2)log|cot(x/2)|+C (C) 1/sqrt(2)log|tan(x/2-pi/6)|+C (D) 1/sqrt(2)log|tan(x/2+(3pi)/8)|+C

int(dx)/(cos x+sqrt(3)sin x) equals: (1)(1)/(2)log tan((x)/(2)+(pi)/(12))+c(1)/(2)log tan((x)/(2)-(pi)/(12))+c log tan ((x)/(2)+(pi)/(12))+cquad log tan((x)/(2)-(pi)/(12))+c

int(1)/(cos x+sqrt(3)sin x)dx equals ( i )log(tan((x)/(2)+(pi)/(12)))+c( (ii) log(tan((x)/(2)-(pi)/(12)))+c( iii) (1)/(2)*log(tan((x)/(2)+(pi)/(12)))+c( iv )(1)/(2)*log(tan((x)/(2)-(pi)/(12)))+c

int(1)/(sin x+sqrt(3)cos x)dx=(1)/(2)log tan((x)/(2)+(pi)/(3))+c

int(dx)/(x-sqrt(x)) is equal to a) 2log|sqrt(x)-1|+C b) 2log|sqrt(x)+1|+C c) log|sqrt(x)-1|+C d) (1)/(2)log|sqrt(x)+1|+C

int(1)/(sqrt(sin^(3)x cos x))dx is equal to :(A)-(2)/(sqrt(cos x))+c(B)(2)/(sqrt(tan x))+c(C)(2)/(sqrt(cot x))+c(D)(2)/(sqrt(tan x))+c

int(1)/(1-cos x-sin x)dx=log|1+(cot x)/(2)|+C(b)log|1-(tan x)/(2)|+C (c) log|1-(cot x)/(2)|+C(d)log|1+(tan x)/(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

Choose the correct answer int sqrt(1+x^(2))dx is equal to (A)(x)/(2)sqrt(1+x^(2))+(1)/(2)log|(x+sqrt(x+x^(2)))|+C (B) (2)/(3)(1+x^(2))^((3)/(2))+C(C)(2)/(3)x(1+x^(2))^((3)/(2))+C(D)^(2)sqrt(1+x^(2))+(1)/(2)x^(2)log|x+sqrt(1+x^(2))|+C