Home
Class 11
MATHS
If int(sqrt(cot x)-sqrt(tan x))/(4+3sin2...

If `int(sqrt(cot x)-sqrt(tan x))/(4+3sin2x)dx=(1)/(2sqrt(2))ln|(f(x)+a)/(f(x)-a)|` where `0 < x < (pi)/(2)` then find the value of a.

Promotional Banner

Similar Questions

Explore conceptually related problems

int(sqrt(cot x)-sqrt(tan x))/(1+3sin2x)*dx

int sin(log x)dx=(x)/(sqrt(2))f(x)+c

int(sqrt(Tan x)+sqrt(Cot x))dx=sqrt(2)sin^(-1)f(x) then range of f(x) is

int(sqrt(Tan x)+sqrt(Cot x))dx=sqrt(2)sin^(-1)(f(x)) then range of f(x) is

int_(0)^(pi//2)(1)/(sqrt(tan x)-sqrt(cot x))dx=

int_(0)^((pi)/(2))(sqrt(cot x))/(sqrt(tan x)+sqrt(cot x))dx=

If I=int(sqrt(cot x)-sqrt(tan x))dx, then I equal sqrt(2)log(sqrt(tan x)-sqrt(cot x))+Csqrt(2)log|sin x|cos x+sqrt(sin2x)|+Csqrt(2)log|sin x-cos x+sqrt(2)sin x cos x|+sqrt(2)log|sin(x+(pi)/(4))+sqrt(2)sin x cos x|+C

int_(0)^((pi)/(2))(cos^(2)x)/(sin x+cos x)dx=(1)/(sqrt(2))(log(sqrt(2)+1))