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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of sin²xcos²x
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Integral of ex^2
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Integral of -e^x
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Integral of (1+2x^2)/(x^2(1+x^2))
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Identical expressions
- dx/(one +x^(two / three))
- dx divide by (1 plus x to the power of (2 divide by 3))
- dx divide by (one plus x to the power of (two divide by three))
- dx/(1+x(2/3))
- dx/1+x2/3
- dx/1+x^2/3
- dx divide by (1+x^(2 divide by 3))
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Similar expressions
- dx/(1-x^(2/3))
Integral of dx/(1+x^(2/3)) dx
The solution
You have entered
[src]
1 / | | 1 | 1*-------- dx | 2/3 | 1 + x | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{x^{\frac{2}{3}} + 1}\, dx$$
Integral(1/(1 + x^(2/3)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 /3 ___\ 3 ___ | 1*-------- dx = C - 3*atan\\/ x / + 3*\/ x | 2/3 | 1 + x | /
$$\int 1 \cdot \frac{1}{x^{\frac{2}{3}} + 1}\, dx = C + 3 \sqrt[3]{x} - 3 \operatorname{atan}{\left(\sqrt[3]{x} \right)}$$
The graph
The answer
[src]
3*pi
3 - ----
4
$$3 - \frac{3 \pi}{4}$$
=
=
3*pi
3 - ----
4
$$3 - \frac{3 \pi}{4}$$
The graph
Use the examples entering the upper and lower limits of integration.