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Solving integrals/ 9+x

Integral of 9+x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

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∫01(x+9) dx\int\limits_{0}^{1} \left(x + 9\right)\, dx 
Integral(9 + x, (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 n≠−1n \neq -1:

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

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

      ∫9 dx=9x\int 9\, dx = 9 x

    The result is: x22+9x\frac{x^{2}}{2} + 9 x

  2. Now simplify:

    x(x+18)2\frac{x \left(x + 18\right)}{2}

  3. Add the constant of integration:

    x(x+18)2+constant\frac{x \left(x + 18\right)}{2}+ \mathrm{constant}

The answer is:

x(x+18)2+constant\frac{x \left(x + 18\right)}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  2      
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 | (9 + x) dx = C + -- + 9*x
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∫(x+9) dx=C+x22+9x\int \left(x + 9\right)\, dx = C + \frac{x^{2}}{2} + 9 x
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90020
Plot the graph f(x)
The answer [src] 
19/2
192\frac{19}{2} 
=
= 
19/2
192\frac{19}{2} 
19/2
Numerical answer [src] 
9.5
9.5

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

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