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1/(sin^2(x/2))
  • How to use it?

  • Integral of d{x}:
  • Integral of a Integral of a
  • Integral of e^2x Integral of e^2x
  • Integral of -1/t Integral of -1/t
  • Integral of x/y
  • Identical expressions

  • one /(sin^ two (x/ two))
  • 1 divide by ( sinus of squared (x divide by 2))
  • one divide by ( sinus of to the power of two (x divide by two))
  • 1/(sin2(x/2))
  • 1/sin2x/2
  • 1/(sin²(x/2))
  • 1/(sin to the power of 2(x/2))
  • 1/sin^2x/2
  • 1 divide by (sin^2(x divide by 2))
  • 1/(sin^2(x/2))dx

Integral of 1/(sin^2(x/2)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1             
  /             
 |              
 |       1      
 |  1*------- dx
 |       2/x\   
 |    sin |-|   
 |        \2/   
 |              
/               
0               
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\sin^{2}{\left(\frac{x}{2} \right)}}\, dx$$
Integral(1/sin(x/2)^2, (x, 0, 1))
The answer (Indefinite) [src]
  /                        /x\
 |                    2*cos|-|
 |      1                  \2/
 | 1*------- dx = C - --------
 |      2/x\              /x\ 
 |   sin |-|           sin|-| 
 |       \2/              \2/ 
 |                            
/                             
$$-{{2}\over{\tan \left({{x}\over{2}}\right)}}$$
The graph
The answer [src]
oo
$${\it \%a}$$
=
=
oo
$$\infty$$
Numerical answer [src]
5.51729471179439e+19
5.51729471179439e+19
The graph
Integral of 1/(sin^2(x/2)) dx

    Use the examples entering the upper and lower limits of integration.