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e^x^2+5.*x
Solving integrals/ e^x^2+5.*x

Integral of e^x^2+5.*x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |  / / 2\        \   
 |  | \x /        |   
 |  \e     + 5.0*x/ dx
 |                    
/                     
0
$$\int\limits_{0}^{1} \left(5.0 x + e^{x^{2}}\right)\, dx$$ 
Integral(E^(x^2) + 5.0*x, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

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

      1. The integral of is when :

      So, the result is:

      ErfRule(a=1, b=0, c=0, context=E**(x**2), symbol=x)

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                                
 |                                                 
 | / / 2\        \                     ____        
 | | \x /        |               2   \/ pi *erfi(x)
 | \e     + 5.0*x/ dx = C + 2.5*x  + --------------
 |                                         2       
/
$$2.5\,x^2-{{\sqrt{\pi}\,i\,\mathrm{erf}\left(i\,x\right)}\over{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
        ____        
      \/ pi *erfi(1)
2.5 + --------------
            2
$$-{{\sqrt{\pi}\,i\,\mathrm{erf}\left(i\right)-5}\over{2}}$$ 
=
= 
        ____        
      \/ pi *erfi(1)
2.5 + --------------
            2
$$\frac{\sqrt{\pi} \operatorname{erfi}{\left(1 \right)}}{2} + 2.5$$
Simplify
Numerical answer [src] 
3.96265174590718
3.96265174590718
The graph
Integral of e^x^2+5.*x dx

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

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