- What is the Integration of 1/(1+atan(x))dx
- please provide the solution of above problem
- What is the Integration of 1/(1+atan(x))dx
- please provide the solution of above problem
Ram prasad , 6 Years ago
Grade 12th pass
Integral Calculus> What is the Integration of 1/(1+atan(x))d...
1 AnswersAditya Gupta
Last Activity: 6 Years ago
put tanx=y
we get dy=(1+y^2)dx
or dy/[(1+y^2)(1+ay)]
now simply write in form of partial fractions:
1/[(1+y^2)(1+ay)]= c/(1+ay) + (fy+e)/(1+y^2) and determine the coefficients c d and f
c/(1+ay) is integrated as cln(1+ay)/a
write (fy+e)/(1+y^2) as (fy)/(1+y^2) + (e)/(1+y^2)
(e)/(1+y^2) has integral e*arctany.
(fy)/(1+y^2) can be solved by letting 1+y^2=z so its integral is
f/2*ln(1+y^2)
add all these together now and thats it
Provide a better Answer & Earn Cool Goodies
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
Other Related Questions on integral calculus
The area of a square field is 640000cm2.what is its area in hectares
The area of a square field is 640000cm2.what is its area in hectares
integral calculus
1 Answer Available
Last Activity: 2 Years ago
Please solve this integration. I am facing difficulty in it How to solve this. Please solve anyone. Humble request
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 Years ago
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
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: 3 Years ago
how to solve this?
this is interger type question .
how to solve this?
this is interger type question .
this is interger type question .
integral calculus
0 Answer Available
Last Activity: 3 Years ago