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Solving integrals/ sin^4xcosxdx

Integral of sin^4xcosxdx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. Let .

    Then let and substitute :

    1. The integral of is when :

    Now substitute back in:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                 
 |                              5   
 |    4                      sin (x)
 | sin (x)*cos(x)*1 dx = C + -------
 |                              5   
/
$${{\sin ^5x}\over{5}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
   5   
sin (1)
-------
   5
$${{\sin ^51}\over{5}}$$ 
=
= 
   5   
sin (1)
-------
   5
$$\frac{\sin^{5}{\left(1 \right)}}{5}$$
Simplify
Numerical answer [src] 
0.0843773191639561
0.0843773191639561

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

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