Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Integral of d{x}:
-
Integral of e^(-4x^2)
-
Integral of cos^3(4x)
-
Integral of 3x⁵
-
Integral of csc^4(4x)
-
Identical expressions
- e^(-4x^ two)
- e to the power of ( minus 4x squared )
- e to the power of ( minus 4x to the power of two)
- e(-4x2)
- e-4x2
- e^(-4x²)
- e to the power of (-4x to the power of 2)
- e^-4x^2
- e^(-4x^2)dx
-
Similar expressions
- e^(4x^2)
Integral of e^(-4x^2) dx
The solution
You have entered
[src]
1 / | | 2 | -4*x | e dx | / 0
$$\int\limits_{0}^{1} e^{- 4 x^{2}}\, dx$$
Integral(E^(-4*x^2), (x, 0, 1))
Detail solution
-
Add the constant of integration:
ErfRule(a=-4, b=0, c=0, context=E**(-4*x**2), symbol=x)
The answer is:
The answer (Indefinite)
[src]
/ | | 2 ____ | -4*x \/ pi *erf(2*x) | e dx = C + --------------- | 4 /
$${{\sqrt{\pi}\,\mathrm{erf}\left(2\,x\right)}\over{4}}$$
The graph
The answer
[src]
____
\/ pi *erf(2)
-------------
4
$${{\sqrt{\pi}\,\mathrm{erf}\left(2\right)}\over{4}}$$
=
=
____
\/ pi *erf(2)
-------------
4
$$\frac{\sqrt{\pi} \operatorname{erf}{\left(2 \right)}}{4}$$
The graph
Use the examples entering the upper and lower limits of integration.