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sin5xcos3xdx
Solving integrals/ sin5xcos3xdx

Integral of sin5xcos3xdx dx

Limits of integration:

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The graph:

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The solution

You have entered [src] 
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 |  sin(5*x)*cos(3*x)*1 dx
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$$\int\limits_{0}^{1} \sin{\left(5 x \right)} \cos{\left(3 x \right)} 1\, dx$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
5    5*cos(3)*cos(5)   3*sin(3)*sin(5)
-- - --------------- - ---------------
16          16                16
$${{5}\over{16}}-{{\cos 8+4\,\cos 2}\over{16}}$$ 
=
= 
5    5*cos(3)*cos(5)   3*sin(3)*sin(5)
-- - --------------- - ---------------
16          16                16
$$- \frac{3 \sin{\left(3 \right)} \sin{\left(5 \right)}}{16} - \frac{5 \cos{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{5}{16}$$
Simplify
Numerical answer [src] 
0.425630461249824
0.425630461249824
The graph
Integral of sin5xcos3xdx dx

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

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