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

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

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The solution

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$$\int\limits_{0}^{1} \sin{\left(7 x \right)} \cos{\left(3 x \right)}\, dx$$ 
Integral(sin(7*x)*cos(3*x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
7    7*cos(3)*cos(7)   3*sin(3)*sin(7)
-- - --------------- - ---------------
40          40                40
$$- \frac{3 \sin{\left(3 \right)} \sin{\left(7 \right)}}{40} - \frac{7 \cos{\left(3 \right)} \cos{\left(7 \right)}}{40} + \frac{7}{40}$$ 
=
= 
7    7*cos(3)*cos(7)   3*sin(3)*sin(7)
-- - --------------- - ---------------
40          40                40
$$- \frac{3 \sin{\left(3 \right)} \sin{\left(7 \right)}}{40} - \frac{7 \cos{\left(3 \right)} \cos{\left(7 \right)}}{40} + \frac{7}{40}$$ 
7/40 - 7*cos(3)*cos(7)/40 - 3*sin(3)*sin(7)/40
Numerical answer [src] 
0.298659029061774
0.298659029061774
The graph
Integral of sin(7x)*cos(3x) dx

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

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