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Solving integrals/ e*x

Integral of e*x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
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 |  E*x dx
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∫01ex dx\int\limits_{0}^{1} e x\, dx 
Integral(E*x, (x, 0, 1))
Detail solution

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

    ∫ex dx=e∫x dx\int e x\, dx = e \int x\, dx

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

      ∫x dx=x22\int x\, dx = \frac{x^{2}}{2}

    So, the result is: ex22\frac{e x^{2}}{2}

  2. Add the constant of integration:

    ex22+constant\frac{e x^{2}}{2}+ \mathrm{constant}

The answer is:

ex22+constant\frac{e x^{2}}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                2
 |              E*x 
 | E*x dx = C + ----
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∫ex dx=C+ex22\int e x\, dx = C + \frac{e x^{2}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.05.0
Plot the graph f(x)
The answer [src] 
E
-
2
e2\frac{e}{2} 
=
= 
E
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2
e2\frac{e}{2} 
E/2
Numerical answer [src] 
1.35914091422952
1.35914091422952
The graph
Integral of e*x dx

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

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