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Solving integrals/ sin2x/cos^42x

Integral of sin2x/cos^42x dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src] 
  0            
  /            
 |             
 |  sin(2*x)   
 |  -------- dx
 |     42      
 |  cos  (x)   
 |             
/              
pi             
--             
6
$$\int\limits_{\frac{\pi}{6}}^{0} \frac{\sin{\left(2 x \right)}}{\cos^{42}{\left(x \right)}}\, dx$$ 
Integral(sin(2*x)/cos(x)^42, (x, pi/6, 0))
The answer (Indefinite) [src] 
  /                             
 |                              
 | sin(2*x)               1     
 | -------- dx = C + -----------
 |    42                   40   
 | cos  (x)          20*cos  (x)
 |                              
/
$$\int \frac{\sin{\left(2 x \right)}}{\cos^{42}{\left(x \right)}}\, dx = C + \frac{1}{20 \cos^{40}{\left(x \right)}}$$
Simplify
Numerical answer [src] 
-15.7168427600609
-15.7168427600609

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

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