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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

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∫01sin⁡(5x)cos⁡(7x) dx\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
0.001.000.100.200.300.400.500.600.700.800.901-2
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⁡224−524-{{\cos 12-6\,\cos 2}\over{24}}-{{5}\over{24}} 
=
= 
  5    5*cos(5)*cos(7)   7*sin(5)*sin(7)
- -- + --------------- + ---------------
  24          24                24
−524+7sin⁡(5)sin⁡(7)24+5cos⁡(5)cos⁡(7)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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