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sin(5*x)*sin(7*x)
Solving integrals/ sin(5*x)*sin(7*x)

Integral of sin(5*x)*sin(7*x) dx

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The solution

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∫01sin⁡(5x)sin⁡(7x) dx\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
0.001.000.100.200.300.400.500.600.700.800.902-2
Plot the graph f(x)
The answer [src] 
  7*cos(7)*sin(5)   5*cos(5)*sin(7)
- --------------- + ---------------
         24                24
5sin⁡(7)cos⁡(5)24−7sin⁡(5)cos⁡(7)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
5sin⁡(7)cos⁡(5)24−7sin⁡(5)cos⁡(7)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 sin(5*x)*sin(7*x) dx

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

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