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

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

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The solution

You have entered [src] 
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 |  sin(5*x)*cos(7*x) dx
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$$\int\limits_{0}^{1} \sin{\left(5 x \right)} \cos{\left(7 x \right)}\, dx$$ 
Integral(sin(5*x)*cos(7*x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
  5    5*cos(5)*cos(7)   7*sin(5)*sin(7)
- -- + --------------- + ---------------
  24          24                24
$$-{{\cos 12-6\,\cos 2}\over{24}}-{{5}\over{24}}$$ 
=
= 
  5    5*cos(5)*cos(7)   7*sin(5)*sin(7)
- -- + --------------- + ---------------
  24          24                24
$$- \frac{5}{24} + \frac{7 \sin{\left(5 \right)} \sin{\left(7 \right)}}{24} + \frac{5 \cos{\left(5 \right)} \cos{\left(7 \right)}}{24}$$
Simplify
Numerical answer [src] 
-0.347530624083973
-0.347530624083973
The graph
Integral of sin(5x)*cos(7x) dx

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

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