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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x²/(x²+1)²
- Integral of sqrt(1-cosx)dx
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Integral of sin5xcos7x
- Integral of sin^3x/sqrt(cosx)
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Identical expressions
- sin5xcos7x
- sinus of 5x co sinus of e of 7x
- sin5xcos7xdx
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Similar expressions
- sin(5x)cos(7x)*dx
Integral of sin5xcos7x dx
The solution
You have entered
[src]
1 / | | sin(5*x)*cos(7*x) dx | / 0
$$\int\limits_{0}^{1} \sin{\left(5 x \right)} \cos{\left(7 x \right)}\, dx$$
Integral(sin(5*x)*cos(7*x), (x, 0, 1))
The graph
The answer
[src]
5 5*cos(5)*cos(7) 7*sin(5)*sin(7) - -- + --------------- + --------------- 24 24 24
$$- \frac{5}{24} + \frac{7 \sin{\left(5 \right)} \sin{\left(7 \right)}}{24} + \frac{5 \cos{\left(5 \right)} \cos{\left(7 \right)}}{24}$$
=
=
5 5*cos(5)*cos(7) 7*sin(5)*sin(7) - -- + --------------- + --------------- 24 24 24
$$- \frac{5}{24} + \frac{7 \sin{\left(5 \right)} \sin{\left(7 \right)}}{24} + \frac{5 \cos{\left(5 \right)} \cos{\left(7 \right)}}{24}$$
-5/24 + 5*cos(5)*cos(7)/24 + 7*sin(5)*sin(7)/24
The graph
Use the examples entering the upper and lower limits of integration.