Mister Exam

Other calculators

Solving integrals/ cos^2x/(1+sin2x)

Integral of cos^2x/(1+sin2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  0                
  /                
 |                 
 |       2         
 |    cos (x)      
 |  ------------ dx
 |  1 + sin(2*x)   
 |                 
/                  
0
∫00cos⁡2(x)sin⁡(2x)+1 dx\int\limits_{0}^{0} \frac{\cos^{2}{\left(x \right)}}{\sin{\left(2 x \right)} + 1}\, dx 
Integral(cos(x)^2/(1 + sin(2*x)), (x, 0, 0))
The answer (Indefinite) [src] 
  /                                                        
 |                                                         
 |      2                                                  
 |   cos (x)                   1          log(1 + sin(2*x))
 | ------------ dx = C - -------------- + -----------------
 | 1 + sin(2*x)          2*(1 + tan(x))           4        
 |                                                         
/
∫cos⁡2(x)sin⁡(2x)+1 dx=C+log⁡(sin⁡(2x)+1)4−12(tan⁡(x)+1)\int \frac{\cos^{2}{\left(x \right)}}{\sin{\left(2 x \right)} + 1}\, dx = C + \frac{\log{\left(\sin{\left(2 x \right)} + 1 \right)}}{4} - \frac{1}{2 \left(\tan{\left(x \right)} + 1\right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.902-2
Plot the graph f(x)
The answer [src] 
0
00 
=
= 
0
00 
0
Numerical answer [src] 
0.0
0.0

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

    © Mister Exam – Calculator