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Integral of d{x}:
Integral of x*dx/(x+1)
Integral of 1/(x(x-1))
Integral of xe^(x)
Integral of e^((x^2)/2)
Identical expressions
e^((x^ two)/ two)
e to the power of ((x squared ) divide by 2)
e to the power of ((x to the power of two) divide by two)
e((x2)/2)
ex2/2
e^((x²)/2)
e to the power of ((x to the power of 2)/2)
e^x^2/2
e^((x^2) divide by 2)
e^((x^2)/2)dx

Solving integrals/ e^((x^2)/2)

Integral of e^((x^2)/2) dx

The solution

You have entered [src]

\int\limits_{0}^{1} e^{\frac{x^{2}}{2}}\, dx

Integral(E^(x^2/2), (x, 0, 1))

The answer (Indefinite) [src]

  /                                       
 |                                        
 |   2                           /    ___\
 |  x             ___   ____     |x*\/ 2 |
 |  --          \/ 2 *\/ pi *erfi|-------|
 |  2                            \   2   /
 | E   dx = C + --------------------------
 |                          2             
/

\int e^{\frac{x^{2}}{2}}\, dx = C + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{\sqrt{2} x}{2} \right)}}{2}

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The answer [src]

                 /  ___\
  ___   ____     |\/ 2 |
\/ 2 *\/ pi *erfi|-----|
                 \  2  /
------------------------
           2

\frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{\sqrt{2}}{2} \right)}}{2}

                 /  ___\
  ___   ____     |\/ 2 |
\/ 2 *\/ pi *erfi|-----|
                 \  2  /
------------------------
           2

\frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{\sqrt{2}}{2} \right)}}{2}

sqrt(2)*sqrt(pi)*erfi(sqrt(2)/2)/2

Numerical answer [src]

1.19495766191023

1.19495766191023

The graph

Use the examples entering the upper and lower limits of integration.

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Identical expressions

Integral of e^((x^2)/2) dx

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The solution