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A-Math Integration of tan^2 x


Another question from O Level Additional Mathematics (A-Math).

lijun(: said...
i came across this qu that day, and i really want to clarify if the method i used is correct or not.int(tan^2x - x^3)

i changed it to int(sec^2x - 1 - x^3) instead, cos i don't think we can integrate tan.

is that feasible?

Absolutely. Since tan^2 x can't be integrated, you must think of alternative by making use of the relationship of tan^2 x + 1 = sec^2 x

Ai Ling Ong

Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'O' Level A-Maths and E-Maths. I develop Math strategies, sometimes ridiculous ideas to help students in understanding abstract concepts the fast and memorable way. I write this blog to share with you the stuff I teach in my class, the common mistakes my students made, the 'way' to think, analyze... If you have found this blog post useful, please share it with your friends. I will really appreciate it! :)

Filed Under: A-Maths Tuition Tagged With: integration, Tips

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Comments

  1. LinwooD says

    October 3, 2007 at 1:06 am

    yes, it's feasible. we dont learn how to integrate tan so we have to change it to sec^2x - 1. great attempt :)

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