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Integral of -81+3^(x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
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 |  \-81 + 3    / dx
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$$\int\limits_{0}^{1} \left(3^{x^{2}} - 81\right)\, dx$$
Detail solution
  1. Integrate term-by-term:

    1. Don't know the steps in finding this integral.

      But the integral is

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

    The result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                /        
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 | \-81 + 3    / dx = C - 81*x +  | 3     dx
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/                                /          
$$-{{\sqrt{\pi}\,i\,\mathrm{erf}\left(i\,\sqrt{\log 3}\,x\right) }\over{2\,\sqrt{\log 3}}}-81\,x$$
The answer [src]
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 |  \-81 + 3    / dx
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$$-{{\sqrt{\pi}\,i\,\mathrm{erf}\left(i\,\sqrt{\log 3}\right)+162\, \sqrt{\log 3}}\over{2\,\sqrt{\log 3}}}$$
=
=
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 |  \-81 + 3    / dx
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$$\int\limits_{0}^{1} \left(3^{x^{2}} - 81\right)\, dx$$
Numerical answer [src]
-79.4733569484656
-79.4733569484656

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