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Solving integrals/ cosxdx/(3-sinx)^2

Integral of cosxdx/(3-sinx)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi                 
 --                 
 2                  
  /                 
 |                  
 |      cos(x)      
 |  ------------- dx
 |              2   
 |  (3 - sin(x))    
 |                  
/                   
0
$$\int\limits_{0}^{\frac{\pi}{2}} \frac{\cos{\left(x \right)}}{\left(3 - \sin{\left(x \right)}\right)^{2}}\, dx$$ 
Integral(cos(x)/(3 - sin(x))^2, (x, 0, pi/2))
The answer (Indefinite) [src] 
  /                                  
 |                                   
 |     cos(x)                  1     
 | ------------- dx = C - -----------
 |             2          -3 + sin(x)
 | (3 - sin(x))                      
 |                                   
/
$$\int \frac{\cos{\left(x \right)}}{\left(3 - \sin{\left(x \right)}\right)^{2}}\, dx = C - \frac{1}{\sin{\left(x \right)} - 3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/6
$$\frac{1}{6}$$ 
=
= 
1/6
$$\frac{1}{6}$$ 
1/6
Numerical answer [src] 
0.166666666666667
0.166666666666667

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

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