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sin^3x×cos^7x
Solving integrals/ sin^3x×cos^7x

Integral of sin^3x×cos^7x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                   
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 |     3       7      
 |  sin (x)*cos (x) dx
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0
$$\int\limits_{0}^{1} \sin^{3}{\left(x \right)} \cos^{7}{\left(x \right)}\, dx$$ 
Integral(sin(x)^3*cos(x)^7, (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
        8         10   
1    cos (1)   cos  (1)
-- - ------- + --------
40      8         10
$$- \frac{\cos^{8}{\left(1 \right)}}{8} + \frac{\cos^{10}{\left(1 \right)}}{10} + \frac{1}{40}$$ 
=
= 
        8         10   
1    cos (1)   cos  (1)
-- - ------- + --------
40      8         10
$$- \frac{\cos^{8}{\left(1 \right)}}{8} + \frac{\cos^{10}{\left(1 \right)}}{10} + \frac{1}{40}$$ 
1/40 - cos(1)^8/8 + cos(1)^10/10
Numerical answer [src] 
0.0243041856856845
0.0243041856856845
The graph
Integral of sin^3x×cos^7x dx

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

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