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[Group5][Integration][HL]Exam Preparation Question

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 I like this question a lot as it goes over an intense substitution. Overall, standard question for paper 3 option 9 :)! Enjoy!

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5 hours ago, SC2Player said:

My answer's in the attached file.  First time doing improper integrals, so a bit annoying, but finally got the answer woo.  I'm not too sure how parts a) and b) are linked though.  

Other answer.pdf

well done :)!

Edited by tutorinseoul

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13 hours ago, SC2Player said:

My answer's in the attached file.  First time doing improper integrals, so a bit annoying, but finally got the answer woo.  I'm not too sure how parts a) and b) are linked though.  

Other answer.pdf

I think the question is saying how equivalent expressions can change the difficulty of evaluating the integrand. For example if we substitute part a) into b), then integral becomes much more difficult, with an hairy denominator. Part a) shows how that hard integral can be simplified to b).

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