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sin5xsin3x
Solving integrals/ sin5xsin3x

Integral of sin5xsin3x dx

Limits of integration:

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The graph:

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The solution

You have entered [src] 
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∫01sin⁡(3x)sin⁡(5x) dx\int\limits_{0}^{1} \sin{\left(3 x \right)} \sin{\left(5 x \right)}\, dx 
Integral(sin(5*x)*sin(3*x), (x, 0, 1))
The graph
0.001.000.100.200.300.400.500.600.700.800.902-2
Plot the graph f(x)
The answer [src] 
  5*cos(5)*sin(3)   3*cos(3)*sin(5)
- --------------- + ---------------
         16                16
−5sin⁡(3)cos⁡(5)16+3sin⁡(5)cos⁡(3)16- \frac{5 \sin{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{3 \sin{\left(5 \right)} \cos{\left(3 \right)}}{16} 
=
= 
  5*cos(5)*sin(3)   3*cos(3)*sin(5)
- --------------- + ---------------
         16                16
−5sin⁡(3)cos⁡(5)16+3sin⁡(5)cos⁡(3)16- \frac{5 \sin{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{3 \sin{\left(5 \right)} \cos{\left(3 \right)}}{16} 
-5*cos(5)*sin(3)/16 + 3*cos(3)*sin(5)/16
Numerical answer [src] 
0.165489466292459
0.165489466292459
The graph
Integral of sin5xsin3x dx

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

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