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How to use it?
- Integral of d{x}:
- Integral of x^2√(1-x^2)
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Integral of e^-t
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Integral of sin(x)*dx/x
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Integral of sin(2*x)/cos(2*x)
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Identical expressions
- sqrt(x)*ln^ two (x)
- square root of (x) multiply by ln squared (x)
- square root of (x) multiply by ln to the power of two (x)
- √(x)*ln^2(x)
- sqrt(x)*ln2(x)
- sqrtx*ln2x
- sqrt(x)*ln²(x)
- sqrt(x)*ln to the power of 2(x)
- sqrt(x)ln^2(x)
- sqrt(x)ln2(x)
- sqrtxln2x
- sqrtxln^2x
- sqrt(x)*ln^2(x)dx
Integral of sqrt(x)*ln^2(x) dx
The solution
You have entered
[src]
E / | | ___ 2 | \/ x *log (x) dx | / 0
$$\int\limits_{0}^{e} \sqrt{x} \log{\left(x \right)}^{2}\, dx$$
Integral(sqrt(x)*log(x)^2, (x, 0, E))
The answer (Indefinite)
[src]
/ | 3/2 3/2 3/2 2 | ___ 2 16*x 8*x *log(x) 2*x *log (x) | \/ x *log (x) dx = C + ------- - ------------- + -------------- | 27 9 3 /
$$\int \sqrt{x} \log{\left(x \right)}^{2}\, dx = C + \frac{2 x^{\frac{3}{2}} \log{\left(x \right)}^{2}}{3} - \frac{8 x^{\frac{3}{2}} \log{\left(x \right)}}{9} + \frac{16 x^{\frac{3}{2}}}{27}$$
The answer
[src]
3/2 10*e ------- 27
$$\frac{10 e^{\frac{3}{2}}}{27}$$
=
=
3/2 10*e ------- 27
$$\frac{10 e^{\frac{3}{2}}}{27}$$
10*exp(3/2)/27
Use the examples entering the upper and lower limits of integration.