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Integral of x^2+e^x
Identical expressions
x^ two +e^x
x squared plus e to the power of x
x to the power of two plus e to the power of x
x2+ex
x²+e^x
x to the power of 2+e to the power of x
x^2+e^xdx
Similar expressions
2*x+2*x^2+e^(x^2)
x^2-e^x

Solving integrals/ x^2+e^x

Integral of x^2+e^x dx

The solution

You have entered [src]

  1             
  /             
 |              
 |  / 2    x\   
 |  \x  + E / dx
 |              
/               
0

$$\int\limits_{0}^{1} \left(e^{x} + x^{2}\right)\, dx$$

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

Detail solution

Integrate term-by-term:
1. The integral of the exponential function is itself.
  
  $\int e^{x}\, dx = e^{x}$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{2}\, dx = \frac{x^{3}}{3}$
The result is: $e^{x} + \frac{x^{3}}{3}$
Now simplify:

$\frac{x^{3}}{3} + e^{x}$
Add the constant of integration:

$\frac{x^{3}}{3} + e^{x}+ \mathrm{constant}$

The answer is:

$\frac{x^{3}}{3} + e^{x}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                          
 |                          3
 | / 2    x\           x   x 
 | \x  + E / dx = C + E  + --
 |                         3 
/

$$\int \left(e^{x} + x^{2}\right)\, dx = e^{x} + C + \frac{x^{3}}{3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-2/3 + E

$$- \frac{2}{3} + e$$

-2/3 + E

$$- \frac{2}{3} + e$$

-2/3 + E

Numerical answer [src]

2.05161516179238

2.05161516179238

The graph

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

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Identical expressions

Similar expressions

Integral of x^2+e^x dx

Limits of integration:

The graph:

Piecewise:

The solution