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sinx/cos^7x

Integral of sinx/cos^7x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1           
  /           
 |            
 |   sin(x)   
 |  ------- dx
 |     7      
 |  cos (x)   
 |            
/             
0             
01sin(x)cos7(x)dx\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\cos^{7}{\left(x \right)}}\, dx
Integral(sin(x)/(cos(x)^7), (x, 0, 1))
The answer (Indefinite) [src]
  /                          
 |                           
 |  sin(x)              1    
 | ------- dx = C + ---------
 |    7                  6   
 | cos (x)          6*cos (x)
 |                           
/                            
16cos6x{{1}\over{6\,\cos ^6x}}
The graph
0.001.000.100.200.300.400.500.600.700.800.900100
The answer [src]
  1       1    
- - + ---------
  6        6   
      6*cos (1)
16cos6116{{1}\over{6\,\cos ^61}}-{{1}\over{6}}
=
=
  1       1    
- - + ---------
  6        6   
      6*cos (1)
16+16cos6(1)- \frac{1}{6} + \frac{1}{6 \cos^{6}{\left(1 \right)}}
Numerical answer [src]
6.53260861136227
6.53260861136227
The graph
Integral of sinx/cos^7x dx

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