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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x²dx
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Integral of ex
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Integral of 1/t
- Integral of x/x^2
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Identical expressions
- x^(- two)(two +x^ three)^(- five / three)
- x to the power of ( minus 2)(2 plus x cubed ) to the power of ( minus 5 divide by 3)
- x to the power of ( minus two)(two plus x to the power of three) to the power of ( minus five divide by three)
- x(-2)(2+x3)(-5/3)
- x-22+x3-5/3
- x^(-2)(2+x³)^(-5/3)
- x to the power of (-2)(2+x to the power of 3) to the power of (-5/3)
- x^-22+x^3^-5/3
- x^(-2)(2+x^3)^(-5 divide by 3)
- x^(-2)(2+x^3)^(-5/3)dx
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Similar expressions
- x^(-2)(2-x^3)^(-5/3)
- x^(2)(2+x^3)^(-5/3)
- x^(-2)(2+x^3)^(5/3)
Integral of x^(-2)(2+x^3)^(-5/3) dx
The solution
You have entered
[src]
1 / | | 1 | -------------- dx | 5/3 | 2 / 3\ | x *\2 + x / | / 0
$$\int\limits_{0}^{1} \frac{1}{x^{2} \left(x^{3} + 2\right)^{\frac{5}{3}}}\, dx$$
Integral(1/(x^2*(2 + x^3)^(5/3)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 Gamma(-1/3) Gamma(-1/3) | -------------- dx = C + ------------------------- + --------------------------- | 5/3 2/3 2/3 | 2 / 3\ / 2 \ 3 / 2 \ | x *\2 + x / 12*|1 + --| *Gamma(5/3) 9*x *|1 + --| *Gamma(5/3) | | 3| | 3| / \ x / \ x /
$$-{{\left(x^3+2\right)^{{{1}\over{3}}}}\over{4\,x}}-{{x^2}\over{8\,
\left(x^3+2\right)^{{{2}\over{3}}}}}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.