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Solving integrals/ sin(2*x)*sin(6*x)

Integral of sin(2*x)*sin(6*x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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 |  sin(2*x)*sin(6*x) dx
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$$\int\limits_{0}^{1} \sin{\left(2 x \right)} \sin{\left(6 x \right)}\, dx$$ 
Integral(sin(2*x)*sin(6*x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
  3*cos(6)*sin(2)   cos(2)*sin(6)
- --------------- + -------------
         16               16
$$- \frac{3 \sin{\left(2 \right)} \cos{\left(6 \right)}}{16} + \frac{\sin{\left(6 \right)} \cos{\left(2 \right)}}{16}$$ 
=
= 
  3*cos(6)*sin(2)   cos(2)*sin(6)
- --------------- + -------------
         16               16
$$- \frac{3 \sin{\left(2 \right)} \cos{\left(6 \right)}}{16} + \frac{\sin{\left(6 \right)} \cos{\left(2 \right)}}{16}$$ 
-3*cos(6)*sin(2)/16 + cos(2)*sin(6)/16
Numerical answer [src] 
-0.156435202327452
-0.156435202327452

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

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