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sin^3x/cosx
Solving integrals/ sin^3x/cosx

Integral of sin^3x/cosx dx

Limits of integration:

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The graph:

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The solution

You have entered [src] 
  1           
  /           
 |            
 |     3      
 |  sin (x)   
 |  ------- dx
 |   cos(x)   
 |            
/             
0
∫01sin⁡3(x)cos⁡(x) dx\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
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
         2                 
  1   cos (1)              
- - + ------- - log(cos(1))
  2      2
−12+cos⁡2(1)2−log⁡(cos⁡(1))- \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
−12+cos⁡2(1)2−log⁡(cos⁡(1))- \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
Integral of sin^3x/cosx dx

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

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