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Solving integrals/ cos(5x)sin(7x)

Integral of cos(5x)sin(7x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
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 |  cos(5*x)*sin(7*x) dx
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$$\int\limits_{0}^{1} \sin{\left(7 x \right)} \cos{\left(5 x \right)}\, dx$$ 
Integral(cos(5*x)*sin(7*x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
7    7*cos(5)*cos(7)   5*sin(5)*sin(7)
-- - --------------- - ---------------
24          24                24
$$- \frac{7 \cos{\left(5 \right)} \cos{\left(7 \right)}}{24} - \frac{5 \sin{\left(5 \right)} \sin{\left(7 \right)}}{24} + \frac{7}{24}$$ 
=
= 
7    7*cos(5)*cos(7)   5*sin(5)*sin(7)
-- - --------------- - ---------------
24          24                24
$$- \frac{7 \cos{\left(5 \right)} \cos{\left(7 \right)}}{24} - \frac{5 \sin{\left(5 \right)} \sin{\left(7 \right)}}{24} + \frac{7}{24}$$ 
7/24 - 7*cos(5)*cos(7)/24 - 5*sin(5)*sin(7)/24
Numerical answer [src] 
0.360542794189598
0.360542794189598

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

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