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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of e^(2*x+1)
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Integral of dx/(9*x^2-1)
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Integral of -cos(2x)
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Integral of dx/(5-2*x)
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Identical expressions
- - eighty-one + three ^(x^ two)
- minus 81 plus 3 to the power of (x squared )
- minus eighty minus one plus three to the power of (x to the power of two)
- -81+3(x2)
- -81+3x2
- -81+3^(x²)
- -81+3 to the power of (x to the power of 2)
- -81+3^x^2
- -81+3^(x^2)dx
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Similar expressions
- -81-3^(x^2)
- 81+3^(x^2)
Integral of -81+3^(x^2) dx
The solution
You have entered
[src]
1 / | | / / 2\\ | | \x /| | \-81 + 3 / dx | / 0
$$\int\limits_{0}^{1} \left(3^{x^{2}} - 81\right)\, dx$$
Detail solution
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Integrate term-by-term:
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Don't know the steps in finding this integral.
But the integral is
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The integral of a constant is the constant times the variable of integration:
The result is:
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Add the constant of integration:
The answer is:
The answer (Indefinite)
[src]
/ / | | | / / 2\\ | / 2\ | | \x /| | \x / | \-81 + 3 / dx = C - 81*x + | 3 dx | | / /
$$-{{\sqrt{\pi}\,i\,\mathrm{erf}\left(i\,\sqrt{\log 3}\,x\right)
}\over{2\,\sqrt{\log 3}}}-81\,x$$
The answer
[src]
1 / | | / / 2\\ | | \x /| | \-81 + 3 / dx | / 0
$$-{{\sqrt{\pi}\,i\,\mathrm{erf}\left(i\,\sqrt{\log 3}\right)+162\,
\sqrt{\log 3}}\over{2\,\sqrt{\log 3}}}$$
=
=
1 / | | / / 2\\ | | \x /| | \-81 + 3 / dx | / 0
$$\int\limits_{0}^{1} \left(3^{x^{2}} - 81\right)\, dx$$
Use the examples entering the upper and lower limits of integration.