Mister Exam

Other calculators


2x*e^x^2

Integral of 2x*e^x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1             
  /             
 |              
 |       / 2\   
 |       \x /   
 |  2*x*E     dx
 |              
/               
0               
$$\int\limits_{0}^{1} e^{x^{2}} \cdot 2 x\, dx$$
Integral((2*x)*E^(x^2), (x, 0, 1))
Detail solution
  1. Let .

    Then let and substitute :

    1. The integral of the exponential function is itself.

    Now substitute back in:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                        
 |                         
 |      / 2\           / 2\
 |      \x /           \x /
 | 2*x*E     dx = C + e    
 |                         
/                          
$$\int e^{x^{2}} \cdot 2 x\, dx = C + e^{x^{2}}$$
The graph
The answer [src]
-1 + E
$$-1 + e$$
=
=
-1 + E
$$-1 + e$$
-1 + E
Numerical answer [src]
1.71828182845905
1.71828182845905
The graph
Integral of 2x*e^x^2 dx

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