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Solving integrals/ 20sin3xcos7x

Integral of 20sin3xcos7x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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 |  20*sin(3*x)*cos(7*x) dx
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$$\int\limits_{0}^{1} 20 \sin{\left(3 x \right)} \cos{\left(7 x \right)}\, dx$$ 
Integral((20*sin(3*x))*cos(7*x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
  3   3*cos(3)*cos(7)   7*sin(3)*sin(7)
- - + --------------- + ---------------
  2          2                 2
$$- \frac{3}{2} + \frac{3 \cos{\left(3 \right)} \cos{\left(7 \right)}}{2} + \frac{7 \sin{\left(3 \right)} \sin{\left(7 \right)}}{2}$$ 
=
= 
  3   3*cos(3)*cos(7)   7*sin(3)*sin(7)
- - + --------------- + ---------------
  2          2                 2
$$- \frac{3}{2} + \frac{3 \cos{\left(3 \right)} \cos{\left(7 \right)}}{2} + \frac{7 \sin{\left(3 \right)} \sin{\left(7 \right)}}{2}$$ 
-3/2 + 3*cos(3)*cos(7)/2 + 7*sin(3)*sin(7)/2
Numerical answer [src] 
-2.29503752308258
-2.29503752308258

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

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