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sin(5x)cos(3x)
Solving integrals/ sin(5x)cos(3x)

Integral of sin(5x)cos(3x) dx

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

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

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