How do i integrate (cot(x))^2

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Discussion Overview

The discussion revolves around the integration of the function (cot(x))^2 and related integration problems, including sec(x). Participants share their approaches and seek assistance in improving their integration skills.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant asks how to integrate (cot(x))^2.
  • Another suggests using a trigonometric identity involving cosec^2 and notes that it relates to the derivative of a function.
  • A different participant expresses difficulty in integrating sec(x) and mentions an incorrect answer involving Ln(1-t^2) where t=tan(x/2).
  • One participant advises calculating the derivative of cotan(x) and combining it with the previous suggestion.
  • Another participant notes that there is usually a section in Calculus II dedicated to trigonometric integrals.

Areas of Agreement / Disagreement

The discussion includes multiple viewpoints and approaches to integration, with no consensus reached on the best method for integrating (cot(x))^2 or sec(x).

Contextual Notes

Participants express uncertainty about their integration skills and the correctness of their approaches, indicating potential gaps in understanding or application of integration techniques.

Who May Find This Useful

Students or individuals seeking help with integration techniques, particularly those involving trigonometric functions.

expscv
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hi all, but how do i intergrate


(cot(x))^2

thx
 
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replace with a trig identity involving cosec^2, and spot that it's the derivative of something.
 
oh i didnt able to get it,

another one is intergrate sec(x) my answer was Ln(1-t^2) where t=tan(x/2)
but it seems to be wrong


~~i m hopless with intergration anyone could help me imporve? i mean any advice in this field
 
1. Calculate the derivative of cotan(x)
2. Try to combine this with matt grime's suggestion
 
There's usually a section under Calc II for trig. integrals.
 

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