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sin(3x)*cos(7x)
Solving integrals/ sin(3x)*cos(7x)

Integral of sin(3x)*cos(7x) dx

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The solution

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 |  sin(3*x)*cos(7*x) dx
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$$\int\limits_{0}^{1} \sin{\left(3 x \right)} \cos{\left(7 x \right)}\, dx$$ 
Integral(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)
- -- + --------------- + ---------------
  40          40                40
$$- \frac{3}{40} + \frac{3 \cos{\left(3 \right)} \cos{\left(7 \right)}}{40} + \frac{7 \sin{\left(3 \right)} \sin{\left(7 \right)}}{40}$$ 
=
= 
  3    3*cos(3)*cos(7)   7*sin(3)*sin(7)
- -- + --------------- + ---------------
  40          40                40
$$- \frac{3}{40} + \frac{3 \cos{\left(3 \right)} \cos{\left(7 \right)}}{40} + \frac{7 \sin{\left(3 \right)} \sin{\left(7 \right)}}{40}$$ 
-3/40 + 3*cos(3)*cos(7)/40 + 7*sin(3)*sin(7)/40
Numerical answer [src] 
-0.114751876154129
-0.114751876154129
The graph
Integral of sin(3x)*cos(7x) dx

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

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