Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of cotx
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Integral of 1÷x
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Integral of 6^x
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Integral of x^2*lnx
- Derivative of:
- x^2/e^(x^2)
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Identical expressions
- x^ two /e^(x^ two)
- x squared divide by e to the power of (x squared )
- x to the power of two divide by e to the power of (x to the power of two)
- x2/e(x2)
- x2/ex2
- x²/e^(x²)
- x to the power of 2/e to the power of (x to the power of 2)
- x^2/e^x^2
- x^2 divide by e^(x^2)
- x^2/e^(x^2)dx
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Similar expressions
- (2x^2)/(e^x^2)
Integral of x^2/e^(x^2) dx
The solution
You have entered
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1 / | | 2 | x | ----- dx | / 2\ | \x / | E | / 0
$$\int\limits_{0}^{1} \frac{x^{2}}{e^{x^{2}}}\, dx$$
Integral(x^2/E^(x^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | 2 | 2 -x ____ | x x*e \/ pi *erf(x) | ----- dx = C - ------ + ------------- | / 2\ 2 4 | \x / | E | /
$$\int \frac{x^{2}}{e^{x^{2}}}\, dx = C - \frac{x e^{- x^{2}}}{2} + \frac{\sqrt{\pi} \operatorname{erf}{\left(x \right)}}{4}$$
The graph
The answer
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-1 ____ e \/ pi *erf(1) - --- + ------------- 2 4
$$- \frac{1}{2 e} + \frac{\sqrt{\pi} \operatorname{erf}{\left(1 \right)}}{4}$$
=
=
-1 ____ e \/ pi *erf(1) - --- + ------------- 2 4
$$- \frac{1}{2 e} + \frac{\sqrt{\pi} \operatorname{erf}{\left(1 \right)}}{4}$$
-exp(-1)/2 + sqrt(pi)*erf(1)/4
The graph
Use the examples entering the upper and lower limits of integration.