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

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

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The solution

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∫01sin⁡(3x)cos⁡(5x) dx\int\limits_{0}^{1} \sin{\left(3 x \right)} \cos{\left(5 x \right)}\, dx 
Integral(sin(3*x)*cos(5*x), (x, 0, 1))
The graph
0.001.000.100.200.300.400.500.600.700.800.901-1
Plot the graph f(x)
The answer [src] 
  3    3*cos(3)*cos(5)   5*sin(3)*sin(5)
- -- + --------------- + ---------------
  16          16                16
−316+3cos⁡(3)cos⁡(5)16+5sin⁡(3)sin⁡(5)16- \frac{3}{16} + \frac{3 \cos{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{5 \sin{\left(3 \right)} \sin{\left(5 \right)}}{16} 
=
= 
  3    3*cos(3)*cos(5)   5*sin(3)*sin(5)
- -- + --------------- + ---------------
  16          16                16
−316+3cos⁡(3)cos⁡(5)16+5sin⁡(3)sin⁡(5)16- \frac{3}{16} + \frac{3 \cos{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{5 \sin{\left(3 \right)} \sin{\left(5 \right)}}{16} 
-3/16 + 3*cos(3)*cos(5)/16 + 5*sin(3)*sin(5)/16
Numerical answer [src] 
-0.282442957023747
-0.282442957023747
The graph
Integral of sin(3x)cos(5x) dx

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

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