help@askiitians.com

+91-735-322-1155

Integral Calculus> ∫(x+sinx)/(1+cosx)dx...

question mark

∫(x+sinx)/(1+cosx)dx

Satyam Rout , 10 Years ago

Grade 12

2 Answers

Vikas TU

∫(x+sinx)/(1+cosx)dx

=> write sinx and cosx in half angle formulaes:

=> (x + 2sinx/2cosx/2)/(2cos^2x/2)dx => 0.5xsec^2x/2 dx + tanx/2 dx …..........................(1)

let tanx/2 = u

0.5sec^2x/2 dx = du

and x = vv

dx = dv

substittue in the eqn. (1)

and after integrating we get,

=> xtan(x/2) + c

Last Activity: 9 Years ago

Krish Gupta

∫(x+sinx)/(1+cosx)dx

=> write sinx and cosx in half angle formulaes:

=> (x + 2sinx/2cosx/2)/(2cos^2x/2)dx => 0.5xsec^2x/2 dx + tanx/2 dx …..........................(1)

let tanx/2 = u

0.5sec^2x/2 dx = du

and x = vv

dx = dv

substittue in the eqn. (1)

and after integrating we get,

=> xtan(x/2) + c $∫(x+sinx)/(1+cosx)dx => write sinx and cosx in half angle formulaes: => (x + 2sinx/2cosx/2)/(2cos^2x/2)dx => 0.5xsec^2x/2 dx + tanx/2 dx …..........................(1) let tanx/2 = u 0.5sec^2x/2 dx = du and x = vv dx = dv substittue in the eqn. (1) and after integrating we get, => xtan(x/2) + c$

Last Activity: 5 Years ago

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

The area of a square field is 640000cm².what is its area in hectares

integral calculus

1 Answer Available

Last Activity: 3 Years ago

Please solve this integration. I am facing difficulty in it
How to solve this. Please solve anyone. Humble request

integral calculus

1 Answer Available

Last Activity: 3 Years ago

Using laplace transform, solve d²y/dt²+ dy/dt = t² +2t given that y=4 and y’=-2 and t=0

integral calculus

1 Answer Available

Last Activity: 3 Years ago

If 4th term of an A.p is zero, show that the 8th term is double the 6th term

integral calculus

1 Answer Available

Last Activity: 3 Years ago

View all Questions