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4sinx/(cosx)^3
Solving integrals/ 4sinx/(cosx)^3

Integral of 4sinx/(cosx)^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  4*sin(x)   
 |  -------- dx
 |     3       
 |  cos (x)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{4 \sin{\left(x \right)}}{\cos^{3}{\left(x \right)}}\, dx$$ 
Integral(4*sin(x)/(cos(x)^3), (x, 0, 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                         
 |                          
 | 4*sin(x)             2   
 | -------- dx = C + -------
 |    3                 2   
 | cos (x)           cos (x)
 |                          
/
$${{2}\over{\cos ^2x}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
        2   
-2 + -------
        2   
     cos (1)
$$4\,\left({{1}\over{2\,\cos ^21}}-{{1}\over{2}}\right)$$ 
=
= 
        2   
-2 + -------
        2   
     cos (1)
$$-2 + \frac{2}{\cos^{2}{\left(1 \right)}}$$
Simplify
Numerical answer [src] 
4.85103764162952
4.85103764162952
The graph
Integral of 4sinx/(cosx)^3 dx

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

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