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sin^3x*cosxdx
Solving integrals/ sin^3x*cosxdx

Integral of sin^3x*cosxdx dx

Limits of integration:

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v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1                  
  /                  
 |                   
 |     3             
 |  sin (x)*cos(x) dx
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/                    
0
$$\int\limits_{0}^{1} \sin^{3}{\left(x \right)} \cos{\left(x \right)}\, dx$$ 
Integral(sin(x)^3*cos(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                               
 |                            4   
 |    3                    sin (x)
 | sin (x)*cos(x) dx = C + -------
 |                            4   
/
$$\int \sin^{3}{\left(x \right)} \cos{\left(x \right)}\, dx = C + \frac{\sin^{4}{\left(x \right)}}{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
   4   
sin (1)
-------
   4
$$\frac{\sin^{4}{\left(1 \right)}}{4}$$ 
=
= 
   4   
sin (1)
-------
   4
$$\frac{\sin^{4}{\left(1 \right)}}{4}$$ 
sin(1)^4/4
Numerical answer [src] 
0.125341991416405
0.125341991416405
The graph
Integral of sin^3x*cosxdx dx

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

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