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y=x^2

Integral of y=x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
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01x2dx\int\limits_{0}^{1} x^{2}\, dx
Integral(x^2, (x, 0, 1))
Detail solution
  1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n1n \neq -1:

    x2dx=x33\int x^{2}\, dx = \frac{x^{3}}{3}

  2. Add the constant of integration:

    x33+constant\frac{x^{3}}{3}+ \mathrm{constant}


The answer is:

x33+constant\frac{x^{3}}{3}+ \mathrm{constant}

The answer (Indefinite) [src]
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x2dx=C+x33\int x^{2}\, dx = C + \frac{x^{3}}{3}
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
The answer [src]
1/3
13\frac{1}{3}
=
=
1/3
13\frac{1}{3}
1/3
Numerical answer [src]
0.333333333333333
0.333333333333333
The graph
Integral of y=x^2 dx

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