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sin8xcos5x
Solving integrals/ sin8xcos5x

Integral of sin8xcos5x dx

Limits of integration:

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The solution

You have entered [src] 
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 |  sin(8*x)*cos(5*x) dx
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$$\int\limits_{0}^{1} \sin{\left(8 x \right)} \cos{\left(5 x \right)}\, dx$$ 
Integral(sin(8*x)*cos(5*x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
8    8*cos(5)*cos(8)   5*sin(5)*sin(8)
-- - --------------- - ---------------
39          39                39
$$- \frac{8 \cos{\left(5 \right)} \cos{\left(8 \right)}}{39} - \frac{5 \sin{\left(5 \right)} \sin{\left(8 \right)}}{39} + \frac{8}{39}$$ 
=
= 
8    8*cos(5)*cos(8)   5*sin(5)*sin(8)
-- - --------------- - ---------------
39          39                39
$$- \frac{8 \cos{\left(5 \right)} \cos{\left(8 \right)}}{39} - \frac{5 \sin{\left(5 \right)} \sin{\left(8 \right)}}{39} + \frac{8}{39}$$ 
8/39 - 8*cos(5)*cos(8)/39 - 5*sin(5)*sin(8)/39
Numerical answer [src] 
0.335225155275067
0.335225155275067
The graph
Integral of sin8xcos5x dx

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

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