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N is not a letter in the Roman Numeral system.

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13y ago

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What is the integral of lnx?

xln(x)-x


Integral of lnx?

Use integration by parts: int [ln(x)] = xln(x) - int(x/x) = xln(x) - x + c


What is XLN in roman numerals?

N is not a Roman numeral.


What is the derivative of y equals xln x?

(xlnx)' = lnx + 1


Integrate of ln x squared?

int(ln(x2)dx)=xln|x2|-2x int(ln2(x)dx)=x[(ln|x|-2)ln|x|+2]


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What is the integral of ln2?

The integral of ln(2) is a constant multiple of x times the natural logarithm of 2, plus a constant of integration. In other words, the integral of ln(2) with respect to x is x * ln(2) + C, where C is the constant of integration. This integral represents the area under the curve of the natural logarithm of 2 function with respect to x.


Solve ln y equals xln e?

ln is the natural logarithm. That is it is defined as log base e. As we all know from school, log base 10 of 10 = 1 just as log base 3 of 3 = 1, so, likewise, log base e of e = 1 and 1.x = x. so we have ln y = x. Relace ln with log base e, and you should get y = ex


How do you Differentiate and Integrate y equals 3 to the power of x?

dy/dx = 3^x * ln(3)integral = (3^x) / ln(3)To obtain the above integral...Let y = 3^xln y = x ln 3y = e^(x ln 3)(i.e. 3^x is the same as e^(x ln 3) ).The integral will then be 3^x / ln 3 (from linear composite rule and substitution after integration).


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What is a logarithmic function?

A logarithm is an exponent.Assume 1 &ne; a > 0 and x > 0Definition of Logarithmic Function with base a:y = logax &harr; ay = xln(ay) = ln x = y ln ay = ln x/ln aDefinite logax = ln x/ln aProperties:The domain of f is all positive real numbers.The range of f is all positive real numbers.f(1) = 0f is an increasing function when a > 1 and decreasing if 0 < a < 1. From the definition of logarithm, it's obvious thatf(x) = logax and f(x) = ax are inverse functions.