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  • Identical expressions

  • one *sin(x)/cos^ five (x)
  • 1 multiply by sinus of (x) divide by co sinus of e of to the power of 5(x)
  • one multiply by sinus of (x) divide by co sinus of e of to the power of five (x)
  • 1*sin(x)/cos5(x)
  • 1*sinx/cos5x
  • 1*sin(x)/cos⁵(x)
  • 1sin(x)/cos^5(x)
  • 1sin(x)/cos5(x)
  • 1sinx/cos5x
  • 1sinx/cos^5x
  • 1*sin(x) divide by cos^5(x)
  • 1*sin(x)/cos^5(x)dx

  • Similar expressions

  • 1*sinx/cos^5(x)
Solving integrals/ 1*sin(x)/cos^5(x)

Integral of 1*sin(x)/cos^5(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |   sin(x)   
 |  ------- dx
 |     5      
 |  cos (x)   
 |            
/             
0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\cos^{5}{\left(x \right)}}\, dx$$ 
Integral(sin(x)/cos(x)^5, (x, 0, 1))
The answer (Indefinite) [src] 
  /                          
 |                           
 |  sin(x)              1    
 | ------- dx = C + ---------
 |    5                  4   
 | cos (x)          4*cos (x)
 |                           
/
$$\int \frac{\sin{\left(x \right)}}{\cos^{5}{\left(x \right)}}\, dx = C + \frac{1}{4 \cos^{4}{\left(x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  1       1    
- - + ---------
  4        4   
      4*cos (1)
$$- \frac{1}{4} + \frac{1}{4 \cos^{4}{\left(1 \right)}}$$ 
=
= 
  1       1    
- - + ---------
  4        4   
      4*cos (1)
$$- \frac{1}{4} + \frac{1}{4 \cos^{4}{\left(1 \right)}}$$ 
-1/4 + 1/(4*cos(1)^4)
Numerical answer [src] 
2.68354479793904
2.68354479793904

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

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