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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x^3*ln(x)
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Integral of (1-cosx)/(1+cosx)
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Integral of x*dx/(x^2+1)
- Integral of tan^(-1)x
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Identical expressions
- cbrt(x)/(five *x- two)
- cubic root of (x) divide by (5 multiply by x minus 2)
- cubic root of (x) divide by (five multiply by x minus two)
- cbrt(x)/(5x-2)
- cbrtx/5x-2
- cbrt(x) divide by (5*x-2)
- cbrt(x)/(5*x-2)dx
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Similar expressions
- cbrt(x)/(5*x+2)
Integral of cbrt(x)/(5*x-2) dx
The solution
You have entered
[src]
1 / | | 3 ___ | \/ x | ------- dx | 5*x - 2 | / 0
$$\int\limits_{0}^{1} \frac{\sqrt[3]{x}}{5 x - 2}\, dx$$
Integral(x^(1/3)/(5*x - 1*2), (x, 0, 1))
The answer (Indefinite)
[src]
/ / 3 ___ 2/3\ / ___ 2/3 ___ 3 ___ 3 ___\ | 3 ___ 2/3 |3 ___ \/ 2 *5 | 3 ___ ___ 2/3 |\/ 3 2 *\/ 3 *\/ 5 *\/ x | | 3 ___ 3 ___ 3 ___ 2/3 / 2/3 2/3 3 ___ 3 ___ 2/3 3 ___\ \/ 2 *5 *log|\/ x - ----------| \/ 2 *\/ 3 *5 *atan|----- + ----------------------| | \/ x 3*\/ x \/ 2 *5 *log\100*x + 20*2 *\/ 5 + 20*\/ 2 *5 *\/ x / \ 5 / \ 3 3 / | ------- dx = C + ------- - -------------------------------------------------------------- + ---------------------------------- - ----------------------------------------------------- | 5*x - 2 5 50 25 25 | /
$${{3\,x^{{{1}\over{3}}}}\over{5}}-{{\log \left(5^{{{2}\over{3}}}\,x
^{{{2}\over{3}}}+2^{{{1}\over{3}}}\,5^{{{1}\over{3}}}\,x^{{{1}\over{
3}}}+2^{{{2}\over{3}}}\right)}\over{2^{{{2}\over{3}}}\,5^{{{4}\over{
3}}}}}-{{2^{{{1}\over{3}}}\,\sqrt{3}\,\arctan \left({{2\,5^{{{2
}\over{3}}}\,x^{{{1}\over{3}}}+2^{{{1}\over{3}}}\,5^{{{1}\over{3}}}
}\over{2^{{{1}\over{3}}}\,\sqrt{3}\,5^{{{1}\over{3}}}}}\right)
}\over{5^{{{4}\over{3}}}}}+{{2^{{{1}\over{3}}}\,\log \left({{5^{{{1
}\over{3}}}\,x^{{{1}\over{3}}}-2^{{{1}\over{3}}}}\over{5^{{{1}\over{
3}}}}}\right)}\over{5^{{{4}\over{3}}}}}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.