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sin(7x)*cos(4x)
Solving integrals/ sin(7x)*cos(4x)

Integral of sin(7x)*cos(4x) dx

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The solution

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$$\int\limits_{0}^{1} \sin{\left(7 x \right)} \cos{\left(4 x \right)}\, dx$$ 
Integral(sin(7*x)*cos(4*x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
7    7*cos(4)*cos(7)   4*sin(4)*sin(7)
-- - --------------- - ---------------
33          33                33
$$- \frac{4 \sin{\left(4 \right)} \sin{\left(7 \right)}}{33} - \frac{7 \cos{\left(4 \right)} \cos{\left(7 \right)}}{33} + \frac{7}{33}$$ 
=
= 
7    7*cos(4)*cos(7)   4*sin(4)*sin(7)
-- - --------------- - ---------------
33          33                33
$$- \frac{4 \sin{\left(4 \right)} \sin{\left(7 \right)}}{33} - \frac{7 \cos{\left(4 \right)} \cos{\left(7 \right)}}{33} + \frac{7}{33}$$ 
7/33 - 7*cos(4)*cos(7)/33 - 4*sin(4)*sin(7)/33
Numerical answer [src] 
0.376918793464254
0.376918793464254
The graph
Integral of sin(7x)*cos(4x) dx

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

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