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x+2

Integral of x+2 dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
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01(x+2)dx\int\limits_{0}^{1} \left(x + 2\right)\, dx
Integral(x + 2, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n1n \neq -1:

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

    1. The integral of a constant is the constant times the variable of integration:

      2dx=2x\int 2\, dx = 2 x

    The result is: x22+2x\frac{x^{2}}{2} + 2 x

  2. Now simplify:

    x(x+4)2\frac{x \left(x + 4\right)}{2}

  3. Add the constant of integration:

    x(x+4)2+constant\frac{x \left(x + 4\right)}{2}+ \mathrm{constant}


The answer is:

x(x+4)2+constant\frac{x \left(x + 4\right)}{2}+ \mathrm{constant}

The answer (Indefinite) [src]
  /                  2      
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x22+2x{{x^2}\over{2}}+2\,x
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
The answer [src]
5/2
52{{5}\over{2}}
=
=
5/2
52\frac{5}{2}
Numerical answer [src]
2.5
2.5
The graph
Integral of x+2 dx

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