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sin5xcos7x
Solving integrals/ sin5xcos7x

Integral of sin5xcos7x 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(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
$$- \frac{5}{24} + \frac{7 \sin{\left(5 \right)} \sin{\left(7 \right)}}{24} + \frac{5 \cos{\left(5 \right)} \cos{\left(7 \right)}}{24}$$ 
=
= 
  5    5*cos(5)*cos(7)   7*sin(5)*sin(7)
- -- + --------------- + ---------------
  24          24                24
$$- \frac{5}{24} + \frac{7 \sin{\left(5 \right)} \sin{\left(7 \right)}}{24} + \frac{5 \cos{\left(5 \right)} \cos{\left(7 \right)}}{24}$$ 
-5/24 + 5*cos(5)*cos(7)/24 + 7*sin(5)*sin(7)/24
Numerical answer [src] 
-0.347530624083973
-0.347530624083973
The graph
Integral of sin5xcos7x dx

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

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