∫ cosec x / log(tan x/2) dx , please ans asap, thank you.
Ashwin , 7 Years ago
Grade 12
Integral Calculus> ∫ cosec x / log(tan x/2) dx , please ans ...
2 Answers
Arun
Last Activity: 7 Years ago
This can be written as
1/sin x* log tan(x/2)
= 1/ 2sin(x/2) cos(x/2) * log tan(x/2)
Multiply by cos (x/2) in both numerator or denominator
= 1/ 2tan(x/2) cos²(x/2) * log tan(x/2)
Now assume
Log tan(x/2) = t
Sec²(x/2)/ 2*tan(x/2) dx = dt
dx/ 2 cos²(x/2) tan(x/2) = dt
Hope now you can do it further
ASHISH yadav
Last Activity: 4 Years ago
Using substitution , denote the denominator by t
t=log tanx/2 , differentiating on both sides
dt/dx = 1/tanx/2×sec^2 x/2×1/2
Hence we get dt =1/sinx dx
Substitute the value of dx as dt×sinx in cosec x/ t dt
From this we get log log tan x/2 + c
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Enter text here...
Other Related Questions on Integral Calculus
The area of a square field is 640000cm2.what is its area in hectares
Integral Calculus
1 Answer Available
Last Activity: 2 Year ago(s)
Please solve this integration. I am facing difficulty in it How to solve this. Please solve anyone. Humble request
Integral Calculus
0 Answer Available
Last Activity: 2 Year ago(s)
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
Integral Calculus
0 Answer Available
Last Activity: 2 Year ago(s)
how to solve this?this is interger type question .
Integral Calculus
0 Answer Available
Last Activity: 2 Year ago(s)
Integrate 0 to π/2 (x sin x cos x )/(a²cos²x + b²sin²x)²
Integral Calculus
1 Answer Available
Last Activity: 2 Year ago(s)