Recent content by chuachinghong

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    Finding the 2005th Derivative with Taylor Series for Inverse Tan Function

    Thanks everyone. I got it now. @,@
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    Finding the 2005th Derivative with Taylor Series for Inverse Tan Function

    Hello shmoe, what I done was to get the TAYLOR SERIES for that inverse tan [(1+x)/(1-x)]. I got that by subsituting [(1+x)/(1-x)] into the X of the TAYLOR SERIES of inverse tan X. Then I compare it with the TAYLOR SERIES definition/formula to find the 2005th derivative when x=0. Just want to...
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    Finding the 2005th Derivative with Taylor Series for Inverse Tan Function

    Well. the series for the part (1) is a geometric series I get Summation from n=0 to infinity : (-1)^n * (x)^2n But i just couldn't see/figure out what part (2) is saying. Including some arbitrary constant? Pardon me if I am abit slow. I just couldn't see the link here. How do I determine the...
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    Finding the 2005th Derivative with Taylor Series for Inverse Tan Function

    I have got a question here that puzzles me. How do I use TAYLOR SERIES to find the 2005th derivative for the function when x=0 for the following function: f(x) = inverse tan [(1+x)/(1-x)] Part (1) I was hinted that differentiating inverse tan x is = 1/(1+x^2). Part (2) After which, I need to...
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    Help with this Definite Integral

    Oh ok I got it. Thanks for your help. @,@
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    Help with this Definite Integral

    Well as I am practising for my coming test, I encountered this question: Integrate f(x) = absolute [(sin X)^3 * (cos X)^15]dx within the interval of [0,2pi] I tried simplifying this integral into... f(x) = absolute[ ((cos X)^15)*(sin X) -((cos X)^17)*(sin X))] dx within the...
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    Volume Calculation for Solid of Revolution with Rotating Curve and Line y=x

    Oops...Well, what I mean was your second alternative. Which was (4,ln4) to (4,4) and (10, ln10) to (10,10) => i.e. 2 straight lines perpendicular to the x-axis. But anyway, thanks for your help :cool:
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    Volume Calculation for Solid of Revolution with Rotating Curve and Line y=x

    Hello I have a question here which I've been thinking for quite sometime. And I am still very puzzled. It goes: Find the volume generate by the curve y=lnx rotating about the line y=x. Within the interval of x [4,10]. I would like to know the approach to this problem as I have been asking...
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