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How to use it?
- Integral of d{x}:
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Integral of e^(2*x)/2
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Integral of (2x+1)^(1/2)
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Integral of 1/(x(x^2+1))
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Integral of x/sqrt(x+2)
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Identical expressions
- xsqrt(one +ln(x/x))
- x square root of (1 plus ln(x divide by x))
- x square root of (one plus ln(x divide by x))
- x√(1+ln(x/x))
- xsqrt1+lnx/x
- xsqrt(1+ln(x divide by x))
- xsqrt(1+ln(x/x))dx
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Similar expressions
- xsqrt(1-ln(x/x))
- (ln(x)/x)/(x*sqrt(1+ln(x)/x))
Integral of xsqrt(1+ln(x/x)) dx
The solution
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[src]
3 e / | | ____________ | / /x\ | x* / 1 + log|-| dx | \/ \x/ | / 1
$$\int\limits_{1}^{e^{3}} x \sqrt{\log{\left(\frac{x}{x} \right)} + 1}\, dx$$
Integral(x*sqrt(1 + log(x/x)), (x, 1, exp(3)))
The answer (Indefinite)
[src]
/ | | ____________ 2 | / /x\ x | x* / 1 + log|-| dx = C + -- | \/ \x/ 2 | /
$$\int x \sqrt{\log{\left(\frac{x}{x} \right)} + 1}\, dx = C + \frac{x^{2}}{2}$$
The graph
The answer
[src]
6 1 e - - + -- 2 2
$$- \frac{1}{2} + \frac{e^{6}}{2}$$
=
=
6 1 e - - + -- 2 2
$$- \frac{1}{2} + \frac{e^{6}}{2}$$
-1/2 + exp(6)/2
Use the examples entering the upper and lower limits of integration.