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Solving integrals/ sin^3x/cosx

Integral of sin^3x/cosx dx

You have entered [src]

  1           
  /           
 |            
 |     3      
 |  sin (x)   
 |  ------- dx
 |   cos(x)   
 |            
/             
0

$$\int\limits_{0}^{1} \frac{\sin^{3}{\left(x \right)}}{\cos{\left(x \right)}}\, dx$$

Integral(sin(x)^3/cos(x), (x, 0, 1))

The graph

Plot the graph f(x)

The answer [src]

         2                 
  1   cos (1)              
- - + ------- - log(cos(1))
  2      2

$$- \frac{1}{2} + \frac{\cos^{2}{\left(1 \right)}}{2} - \log{\left(\cos{\left(1 \right)} \right)}$$

         2                 
  1   cos (1)              
- - + ------- - log(cos(1))
  2      2

$$- \frac{1}{2} + \frac{\cos^{2}{\left(1 \right)}}{2} - \log{\left(\cos{\left(1 \right)} \right)}$$

-1/2 + cos(1)^2/2 - log(cos(1))

Numerical answer [src]

0.261589761249229

0.261589761249229

The graph

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