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- Improper integral
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How to use it?
- Integral of d{x}:
- Integral of -y^3*e^((y^2)/2)
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Integral of tan^2x/sec^5x
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Integral of sin^3x/(1+cosx)
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Integral of sin^2tdt
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Identical expressions
- -y^ three *e^((y^ two)/ two)
- minus y cubed multiply by e to the power of ((y squared ) divide by 2)
- minus y to the power of three multiply by e to the power of ((y to the power of two) divide by two)
- -y3*e((y2)/2)
- -y3*ey2/2
- -y³*e^((y²)/2)
- -y to the power of 3*e to the power of ((y to the power of 2)/2)
- -y^3e^((y^2)/2)
- -y3e((y2)/2)
- -y3ey2/2
- -y^3e^y^2/2
- -y^3*e^((y^2) divide by 2)
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Similar expressions
- y^3*e^((y^2)/2)
Integral of -y^3*e^((y^2)/2) dx
The solution
You have entered
[src]
1 / | | 2 | y | -- | 3 2 | -y *E dy | / 0
$$\int\limits_{0}^{1} e^{\frac{y^{2}}{2}} \left(- y^{3}\right)\, dy$$
Integral((-y^3)*E^(y^2/2), (y, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 2 | y y | -- -- | 3 2 / 2\ 2 | -y *E dy = C + \2 - y /*e | /
$$\int e^{\frac{y^{2}}{2}} \left(- y^{3}\right)\, dy = C + \left(2 - y^{2}\right) e^{\frac{y^{2}}{2}}$$
The graph
The answer
[src]
1/2 -2 + e
$$-2 + e^{\frac{1}{2}}$$
=
=
1/2 -2 + e
$$-2 + e^{\frac{1}{2}}$$
-2 + exp(1/2)
Use the examples entering the upper and lower limits of integration.