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sin3xsin5x
Solving integrals/ sin3xsin5x

Integral of sin3xsin5x 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(3*x)*sin(5*x) dx
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$$\int\limits_{0}^{1} \sin{\left(3 x \right)} \sin{\left(5 x \right)}\, dx$$ 
Integral(sin(3*x)*sin(5*x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
  5*cos(5)*sin(3)   3*cos(3)*sin(5)
- --------------- + ---------------
         16                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
$$- \frac{5 \sin{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{3 \sin{\left(5 \right)} \cos{\left(3 \right)}}{16}$$ 
-5*cos(5)*sin(3)/16 + 3*cos(3)*sin(5)/16
Numerical answer [src] 
0.165489466292459
0.165489466292459
The graph
Integral of sin3xsin5x dx

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

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