Integration from 0 to infinity x2cosx / (xsinx)2

2 years ago

Share

Answers : (2)

                                        

=x2cos(x)/(xsin(x))2


=x2cos(x)/x2sin(x)2


= cos(x)/sin2(x)


= cot(x)cosec(x)


Integrating it gives -cosec(x) 


Definite Integral frm 0 to infiniity is cosec(0)+cosec(infinity) ---> undefined 

2 years ago
                                        integral x^2cosx/(xsinx)^2 dx
=integral cotx cosecx dx
=- cosecx +C

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty
7 months ago

Post Your Answer

More Questions On Integral Calculus

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
1.lim (pi) 0.5 – (cos -1 x) 0.5 /(x + 1) 0.5 x--->-1+
 
 
Ans: Hello Student, Please find answer to your question below This is zero by zero form, use L’hospital rule
  img
Jitender Singh 2 months ago
∫e -( x*x) dx=?
 
 
there is no elementary integral for the given funciton. Pl. check the following link for further workings. http://en.wikipedia.org/wiki/Gaussian_integral
 
Y RAJYALAKSHMI 2 months ago
 
Is this ∫e -( x 2 ) dx or ∫e -( x x ) dx pl. specify
 
Y RAJYALAKSHMI 2 months ago
 
Is this ∫e -( x 2 ) dx or ∫e -( x x ) dx pl. specify
 
Y RAJYALAKSHMI 2 months ago
Q . THE AREA ENCLOSED BETWEEN THE CURVES - y = ln ( x + e ) and x = ln ( 1/y ) AND X-AXIS.
 
 
Ans: Hello Student, Please find answer to your question below Intersect x-axis at (1-e, 0) & y-axis at (0, 1) Intersect y-axis at (0, 1). Area A b/w two curves is:
  img
Jitender Singh one month ago
 
thanks sir......and happy diwali.......
 
bharat makkar one month ago
Stress is a Vector or Scalar Quantity ??
 
 
Stress is a Scalar Quantity. It involves only magnitude and direction doesn`t matter. As Pressure = Stress.
 
Sushil Vanka 7 months ago
 
Definitely a scalar. Stress is the magnitude of force per unit area.
 
Prajwal kr one year ago
 
stress is a vector quantity because it has magnitude and direction.
 
Arvindsista 7 months ago
Integrate cosecx.sec3x
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 4 months ago
if a parabola whose length of latus rectum is 4a touches the coordinate axes the find the locus of its focus
 
 
please check the attached file
  img
Sunil Raikwar 9 months ago
 
Let (h,k) be the focus of the hyperbola, since it touches the axis tangent at the vertex should be and the equation of its directrix should be and the perpendicular distance from direcrtrix...
 
sunil raikwar 9 months ago
 
Hi Pranjal, There is slight technical issue. Please post these questions again in analytical Geometry. We will upload the answers for the same. askIITians Faculty
 
sunil raikwar 9 months ago
View all Questions »