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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
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How to use it?
- Integral of d{x}:
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Integral of tg
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Integral of sec^2(3x)
- Integral of sin(x)*log(x)/x
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Integral of sin5xsin3x
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Identical expressions
- sin5xsin3x
- sinus of 5x sinus of 3x
- sin5xsin3xdx
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Similar expressions
- sin(5x)*sin(3x)
- sin(5x)sin(3x)
- sin(5x)sin3x
- sin(5*x)*sin(3*x)
Integral of sin5xsin3x dx
The solution
You have entered
[src]
1 / | | sin(5*x)*sin(3*x) dx | / 0
$$\int\limits_{0}^{1} \sin{\left(3 x \right)} \sin{\left(5 x \right)}\, dx$$
Integral(sin(5*x)*sin(3*x), (x, 0, 1))
The graph
The answer
[src]
5*cos(5)*sin(3) 3*cos(3)*sin(5)
- --------------- + ---------------
16 16
$$- \frac{5 \sin{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{3 \sin{\left(5 \right)} \cos{\left(3 \right)}}{16}$$
=
=
5*cos(5)*sin(3) 3*cos(3)*sin(5)
- --------------- + ---------------
16 16
$$- \frac{5 \sin{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{3 \sin{\left(5 \right)} \cos{\left(3 \right)}}{16}$$
-5*cos(5)*sin(3)/16 + 3*cos(3)*sin(5)/16
The graph
Use the examples entering the upper and lower limits of integration.