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Solving integrals/ 9*x^8

Integral of 9*x^8 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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∫019x8 dx\int\limits_{0}^{1} 9 x^{8}\, dx 
Integral(9*x^8, (x, 0, 1))
Detail solution

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

    ∫9x8 dx=9∫x8 dx\int 9 x^{8}\, dx = 9 \int x^{8}\, dx

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

      ∫x8 dx=x99\int x^{8}\, dx = \frac{x^{9}}{9}

    So, the result is: x9x^{9}

  2. Add the constant of integration:

    x9+constantx^{9}+ \mathrm{constant}

The answer is:

x9+constantx^{9}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
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 |    8           9
 | 9*x  dx = C + x 
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∫9x8 dx=C+x9\int 9 x^{8}\, dx = C + x^{9}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
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11 
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11 
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Numerical answer [src] 
1.0
1.0

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

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