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Solving integrals/ sin5x*cos3x*dx

Integral of sin5x*cos3x*dx dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
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 |  sin(5*x)*cos(3*x) dx
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∫01sin⁡(5x)cos⁡(3x) dx\int\limits_{0}^{1} \sin{\left(5 x \right)} \cos{\left(3 x \right)}\, dx 
Integral(sin(5*x)*cos(3*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] 
5    5*cos(3)*cos(5)   3*sin(3)*sin(5)
-- - --------------- - ---------------
16          16                16
−3sin⁡(3)sin⁡(5)16−5cos⁡(3)cos⁡(5)16+516- \frac{3 \sin{\left(3 \right)} \sin{\left(5 \right)}}{16} - \frac{5 \cos{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{5}{16} 
=
= 
5    5*cos(3)*cos(5)   3*sin(3)*sin(5)
-- - --------------- - ---------------
16          16                16
−3sin⁡(3)sin⁡(5)16−5cos⁡(3)cos⁡(5)16+516- \frac{3 \sin{\left(3 \right)} \sin{\left(5 \right)}}{16} - \frac{5 \cos{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{5}{16} 
5/16 - 5*cos(3)*cos(5)/16 - 3*sin(3)*sin(5)/16
Numerical answer [src] 
0.425630461249824
0.425630461249824

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

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