Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 400 off


∫1⁄cos3x-cosx dx

6 years ago


Answers : (1)


  dx/cos3x-cosx =dx/4cos^3x-4cosx   by using identity   cos3x =4cos^3x - 3cosx

=  dx/4.cosx(cos^2x-1)



 now putting sinx=t,cosxdx=dt


  =1/4 {-dt/t^2  -dt/1-t^2 }

  =1/4 .{1/t + log1-t/1+t } +c

 =1/4 .(cosecx + log1-sinx/1+sinx } +c


6 years ago

Post Your Answer

Other Related Questions on Integral Calculus

what is integration? and what is the real life applications of an integration?
Dear Sudharshan Integration is the one symboll used in solving problems . Integration is opposite to differentiation. It is usefull in mathematics, physics and chemistry
Prabhakar ch 9 months ago
DEAR SUDARSHAN, Integration is the act of bringing together smaller components into a single system that functions as one. Integration is used to compute such things as the areas and...
naresh raju 9 months ago
dear sudarshan..... Integration is a way of adding slices to find the whole. Integration can be used to find areas, volumes, central points and many useful things. But it is easiest to...
mohan 9 months ago
Please answer this question. I tried all possible ways I could.
Hence the required ratio is...
mycroft holmes 4 days ago
If area of a bounded curve is asked, the which area (numeric or signed) is to be calculated?
area is never negative . so area should always be calc with modulus function . while integrating , we must split the integral at the points where the curves intersect . hope this helps you.
sri tanish 5 months ago
Find:-- lim x 2 - 4 x→2. ---------------- √x+2 - √3x-2
Rationalise it or apply H-sopital. => (x^2-4)* (√x+2 + √3x-2) / (x+2 - 3x + 2) => (x^2-4)* (√x+2 + √3x-2)/(-2x +4) =>(x-2) (x+2) (√x+2 + √3x-2)/-2(x-2) => -2(x+2) (√x+2 + √3x-2) Simply Now...
Vikas TU 2 months ago
Range of f(x)=cos 2 x(cos 2 x+1)+2sin 2 x is... Please explain each step.
Write cos 2 x(cos 2 x+1)+2sin 2 x as: (cos ^4 x+cos^2x)+2sin 2 x Now, (cos ^4 x+cos^2x)+2 – 2cos^2x => cos^4x – cos^2x + 2 =>cos^4x + 1 + sin^2x Range = > [2,2]
Vikas TU 2 months ago
A ray of light is incident on a plane mirror along a vector i cap + j cap +k cap . The normal on incidence point is along icap+ jcap . The unit vector along the reflected ray is?
First write down the angle b/w the incident and normal and equate it to the angle of normal and reflected light. Assume reflected light be ai + bj + ck. its magnitude would be 1. Therefore, ...
Vikas TU 2 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off

Get extra R 400 off

More Questions On Integral Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details