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sin5xsin7xdx
Solving integrals/ sin5xsin7xdx

Integral of sin5xsin7xdx 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)*sin(7*x) dx
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$$\int\limits_{0}^{1} \sin{\left(5 x \right)} \sin{\left(7 x \right)}\, dx$$ 
Integral(sin(5*x)*sin(7*x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
  7*cos(7)*sin(5)   5*cos(5)*sin(7)
- --------------- + ---------------
         24                24
$$\frac{5 \sin{\left(7 \right)} \cos{\left(5 \right)}}{24} - \frac{7 \sin{\left(5 \right)} \cos{\left(7 \right)}}{24}$$ 
=
= 
  7*cos(7)*sin(5)   5*cos(5)*sin(7)
- --------------- + ---------------
         24                24
$$\frac{5 \sin{\left(7 \right)} \cos{\left(5 \right)}}{24} - \frac{7 \sin{\left(5 \right)} \cos{\left(7 \right)}}{24}$$ 
-7*cos(7)*sin(5)/24 + 5*cos(5)*sin(7)/24
Numerical answer [src] 
0.249681561623105
0.249681561623105
The graph
Integral of sin5xsin7xdx dx

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

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