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sin(7x)cos(5x)
Solving integrals/ sin(7x)cos(5x)

Integral of sin(7x)cos(5x) dx

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The solution

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∫01sin⁡(7x)cos⁡(5x) dx\int\limits_{0}^{1} \sin{\left(7 x \right)} \cos{\left(5 x \right)}\, dx 
Integral(sin(7*x)*cos(5*x), (x, 0, 1))
The graph
0.001.000.100.200.300.400.500.600.700.800.902-1
Plot the graph f(x)
The answer [src] 
7    7*cos(5)*cos(7)   5*sin(5)*sin(7)
-- - --------------- - ---------------
24          24                24
−7cos⁡(5)cos⁡(7)24−5sin⁡(5)sin⁡(7)24+724- \frac{7 \cos{\left(5 \right)} \cos{\left(7 \right)}}{24} - \frac{5 \sin{\left(5 \right)} \sin{\left(7 \right)}}{24} + \frac{7}{24} 
=
= 
7    7*cos(5)*cos(7)   5*sin(5)*sin(7)
-- - --------------- - ---------------
24          24                24
−7cos⁡(5)cos⁡(7)24−5sin⁡(5)sin⁡(7)24+724- \frac{7 \cos{\left(5 \right)} \cos{\left(7 \right)}}{24} - \frac{5 \sin{\left(5 \right)} \sin{\left(7 \right)}}{24} + \frac{7}{24} 
7/24 - 7*cos(5)*cos(7)/24 - 5*sin(5)*sin(7)/24
Numerical answer [src] 
0.360542794189598
0.360542794189598
The graph
Integral of sin(7x)cos(5x) dx

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

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