Mister Exam

Other calculators

e^(2x²)
Solving integrals/ e^(2x²)

Integral of e^(2x²) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |      2   
 |   2*x    
 |  E     dx
 |          
/           
0
$$\int\limits_{0}^{1} e^{2 x^{2}}\, dx$$ 
Integral(E^(2*x^2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                         
 |                                          
 |     2            ___   ____     /    ___\
 |  2*x           \/ 2 *\/ pi *erfi\x*\/ 2 /
 | E     dx = C + --------------------------
 |                            4             
/
$$\int e^{2 x^{2}}\, dx = C + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\sqrt{2} x \right)}}{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  ___   ____     /  ___\
\/ 2 *\/ pi *erfi\\/ 2 /
------------------------
           4
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\sqrt{2} \right)}}{4}$$ 
=
= 
  ___   ____     /  ___\
\/ 2 *\/ pi *erfi\\/ 2 /
------------------------
           4
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\sqrt{2} \right)}}{4}$$ 
sqrt(2)*sqrt(pi)*erfi(sqrt(2))/4
Numerical answer [src] 
2.36445389280521
2.36445389280521
The graph
Integral of e^(2x²) dx

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

    © Mister Exam – Calculator