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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x^3*e^(x^4)
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Integral of x*e^(4*x)
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Integral of 1/(4+x^2)
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Integral of x/sqrt(1+x^2)
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Identical expressions
- sin4xcos2xdx
- sinus of 4x co sinus of e of 2xdx
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Similar expressions
- sin^4xcos^2xdx
- sin^4(x)*cos^2(x)dx
Integral of sin4xcos2xdx dx
The solution
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[src]
1 / | | sin(4*x)*cos(2*x) dx | / 0
$$\int\limits_{0}^{1} \sin{\left(4 x \right)} \cos{\left(2 x \right)}\, dx$$
Integral(sin(4*x)*cos(2*x), (x, 0, 1))
The graph
The answer
[src]
1 cos(2)*cos(4) sin(2)*sin(4) - - ------------- - ------------- 3 3 6
$$- \frac{\cos{\left(2 \right)} \cos{\left(4 \right)}}{3} - \frac{\sin{\left(2 \right)} \sin{\left(4 \right)}}{6} + \frac{1}{3}$$
=
=
1 cos(2)*cos(4) sin(2)*sin(4) - - ------------- - ------------- 3 3 6
$$- \frac{\cos{\left(2 \right)} \cos{\left(4 \right)}}{3} - \frac{\sin{\left(2 \right)} \sin{\left(4 \right)}}{6} + \frac{1}{3}$$
1/3 - cos(2)*cos(4)/3 - sin(2)*sin(4)/6
The graph
Use the examples entering the upper and lower limits of integration.