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  1. T

    Arc Length of a curve in polar form

    Hi, Could anybody help me with grasping the arc length concept regarding the polar curve? I have attached the way my book is presenting the concept. So far, I have understood that the angle R is tending to 90 degrees, and that RP tends to r times delta theta, as delta theta tends to zero...
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    Integration involving Hyperbolic Functions Problem

    Hi, could anybody help me with the following question? I can not figure it out how to find the same constant of proportionality for the rectangular hyperbola. I have attached the book's question and solution as well as my working....... I would be really grateful if anyone can help.
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    Integration involving Inverse Hyperbolic Functions

    Hi, could anybody help me with this integration question? Thing is, I understand the integration process through substitution x = 2sin(u) but there is a notice box in my book suggesting that this could be done without using the substitution x = 2sin(u). I have attached the question from my book...
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    Maclaurin Series Problem

    Could anybody help me with this Maclaurin Series question? I would be really grateful for your help. I have attached the question as in image.
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