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- Improper integral
- Double Integral
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- Curvilinear integral
- Derivative Step by Step
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How to use it?
- Integral of d{x}:
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Integral of (1+4x^2)^(1/2)
- Integral of x/(x^3-3x+2)
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Integral of 1/(x^2-2)
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Integral of 1/(sqrt(x))
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Identical expressions
- one /(sqrt(x)*(cbrt(x)+ one))
- 1 divide by ( square root of (x) multiply by ( cubic root of (x) plus 1))
- one divide by ( square root of (x) multiply by ( cubic root of (x) plus one))
- 1/(√(x)*(cbrt(x)+1))
- 1/(sqrt(x)(cbrt(x)+1))
- 1/sqrtxcbrtx+1
- 1 divide by (sqrt(x)*(cbrt(x)+1))
- 1/(sqrt(x)*(cbrt(x)+1))dx
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Similar expressions
- 1/(sqrt(x)*(cbrt(x)-1))
Integral of 1/(sqrt(x)*(cbrt(x)+1)) dx
The solution
You have entered
[src]
1 / | | 1 | ----------------- dx | ___ /3 ___ \ | \/ x *\\/ x + 1/ | / 0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{x} \left(\sqrt[3]{x} + 1\right)}\, dx$$
Integral(1/(sqrt(x)*(x^(1/3) + 1)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 /6 ___\ 6 ___ | ----------------- dx = C - 6*atan\\/ x / + 6*\/ x | ___ /3 ___ \ | \/ x *\\/ x + 1/ | /
$$\int \frac{1}{\sqrt{x} \left(\sqrt[3]{x} + 1\right)}\, dx = C + 6 \sqrt[6]{x} - 6 \operatorname{atan}{\left(\sqrt[6]{x} \right)}$$
The graph
The answer
[src]
3*pi
6 - ----
2
$$6 - \frac{3 \pi}{2}$$
=
=
3*pi
6 - ----
2
$$6 - \frac{3 \pi}{2}$$
6 - 3*pi/2
Use the examples entering the upper and lower limits of integration.