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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
- sqrt(x)*(ln(x))^ three
- square root of (x) multiply by (ln(x)) cubed
- square root of (x) multiply by (ln(x)) to the power of three
- √(x)*(ln(x))^3
- sqrt(x)*(ln(x))3
- sqrtx*lnx3
- sqrt(x)*(ln(x))³
- sqrt(x)*(ln(x)) to the power of 3
- sqrt(x)(ln(x))^3
- sqrt(x)(ln(x))3
- sqrtxlnx3
- sqrtxlnx^3
- sqrt(x)*(ln(x))^3dx
Integral of sqrt(x)*(ln(x))^3 dx
The solution
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[src]
1 / | | ___ 3 | \/ x *log (x) dx | / 0
$$\int\limits_{0}^{1} \sqrt{x} \log{\left(x \right)}^{3}\, dx$$
Integral(sqrt(x)*log(x)^3, (x, 0, 1))
The answer (Indefinite)
[src]
/ | 3/2 3/2 2 3/2 3 3/2 | ___ 3 32*x 4*x *log (x) 2*x *log (x) 16*x *log(x) | \/ x *log (x) dx = C - ------- - -------------- + -------------- + -------------- | 27 3 3 9 /
$$\int \sqrt{x} \log{\left(x \right)}^{3}\, dx = C + \frac{2 x^{\frac{3}{2}} \log{\left(x \right)}^{3}}{3} - \frac{4 x^{\frac{3}{2}} \log{\left(x \right)}^{2}}{3} + \frac{16 x^{\frac{3}{2}} \log{\left(x \right)}}{9} - \frac{32 x^{\frac{3}{2}}}{27}$$
Use the examples entering the upper and lower limits of integration.