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Solving integrals/ sinx/(1+cos^2x)dx

Integral of sinx/(1+cos^2x)dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  x                        
  -                        
  2                        
  /                        
 |                         
 |              1          
 |  sin(x)*-----------*1 dx
 |                2        
 |         1 + cos (x)     
 |                         
/                          
0
$$\int\limits_{0}^{\frac{x}{2}} \sin{\left(x \right)} \frac{1}{\cos^{2}{\left(x \right)} + 1} \cdot 1\, dx$$
Simplify
The answer (Indefinite) [src] 
  /                                          
 |                                           
 |             1                             
 | sin(x)*-----------*1 dx = C - atan(cos(x))
 |               2                           
 |        1 + cos (x)                        
 |                                           
/
$$-\arctan \cos x$$
Simplify
The answer [src] 
      /   /x\\   pi
- atan|cos|-|| + --
      \   \2//   4
$$- \operatorname{atan}{\left(\cos{\left(\frac{x}{2} \right)} \right)} + \frac{\pi}{4}$$ 
=
= 
      /   /x\\   pi
- atan|cos|-|| + --
      \   \2//   4
$$- \operatorname{atan}{\left(\cos{\left(\frac{x}{2} \right)} \right)} + \frac{\pi}{4}$$
Simplify

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

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