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Solving integrals/ sin(8x)*cos(2x)

Integral of sin(8x)*cos(2x) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
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 |  sin(8*x)*cos(2*x) dx
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$$\int\limits_{0}^{1} \sin{\left(8 x \right)} \cos{\left(2 x \right)}\, dx$$ 
Integral(sin(8*x)*cos(2*x), (x, 0, 1))
The answer [src] 
2    2*cos(2)*cos(8)   sin(2)*sin(8)
-- - --------------- - -------------
15          15               30
$${{2}\over{15}}-{{3\,\cos 10+5\,\cos 6}\over{60}}$$ 
=
= 
2    2*cos(2)*cos(8)   sin(2)*sin(8)
-- - --------------- - -------------
15          15               30
$$- \frac{\sin{\left(2 \right)} \sin{\left(8 \right)}}{30} - \frac{2 \cos{\left(2 \right)} \cos{\left(8 \right)}}{15} + \frac{2}{15}$$
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Numerical answer [src] 
0.0952727192329588
0.0952727192329588

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

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