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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/
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Integral of x*e^(3*x)*dx
- Integral of e^(a*x)
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Integral of 1/x(x+1)
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Identical expressions
- sin3x*cos5xdx
- sinus of 3x multiply by co sinus of e of 5xdx
- sin3xcos5xdx
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Similar expressions
- (1/(sin^3(x)cos^5(x)))dx
Integral of sin3x*cos5xdx dx
The solution
You have entered
[src]
1 / | | sin(3*x)*cos(5*x) dx | / 0
$$\int\limits_{0}^{1} \sin{\left(3 x \right)} \cos{\left(5 x \right)}\, dx$$
Integral(sin(3*x)*cos(5*x), (x, 0, 1))
The graph
The answer
[src]
3 3*cos(3)*cos(5) 5*sin(3)*sin(5) - -- + --------------- + --------------- 16 16 16
$$- \frac{3}{16} + \frac{3 \cos{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{5 \sin{\left(3 \right)} \sin{\left(5 \right)}}{16}$$
=
=
3 3*cos(3)*cos(5) 5*sin(3)*sin(5) - -- + --------------- + --------------- 16 16 16
$$- \frac{3}{16} + \frac{3 \cos{\left(3 \right)} \cos{\left(5 \right)}}{16} + \frac{5 \sin{\left(3 \right)} \sin{\left(5 \right)}}{16}$$
-3/16 + 3*cos(3)*cos(5)/16 + 5*sin(3)*sin(5)/16
The graph
Use the examples entering the upper and lower limits of integration.