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Integral of x^1 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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∫01x1 dx\int\limits_{0}^{1} x^{1}\, dx 
Integral(x^1, (x, 0, 1))
Detail solution

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

    ∫x1 dx=x22\int x^{1}\, dx = \frac{x^{2}}{2}

  2. Add the constant of integration:

    x22+constant\frac{x^{2}}{2}+ \mathrm{constant}

The answer is:

x22+constant\frac{x^{2}}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
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x22{{x^2}\over{2}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
1/2
12{{1}\over{2}} 
=
= 
1/2
12\frac{1}{2}
Упростить
Numerical answer [src] 
0.5
0.5
The graph
Integral of x^1 dx

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

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