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xe^x^2+1dx
Solving integrals/ xe^x^2+1dx

Integral of xe^x^2+1dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. Integrate term-by-term:

    1. Let .

      Then let and substitute :

      1. The integral of a constant times a function is the constant times the integral of the function:

        1. The integral of the exponential function is itself.

        So, the result is:

      Now substitute back in:

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                
 |                             / 2\
 | /   / 2\    \               \x /
 | |   \x /    |              e    
 | \x*E     + 1/ dx = C + x + -----
 |                              2  
/
$$\int \left(e^{x^{2}} x + 1\right)\, dx = C + x + \frac{e^{x^{2}}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1   E
- + -
2   2
$$\frac{1}{2} + \frac{e}{2}$$ 
=
= 
1   E
- + -
2   2
$$\frac{1}{2} + \frac{e}{2}$$ 
1/2 + E/2
Numerical answer [src] 
1.85914091422952
1.85914091422952
The graph
Integral of xe^x^2+1dx dx

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

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