Crazy Calculus Integration worksheet from almost ivy league school i

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SUMMARY

The forum discussion centers around a challenging calculus integration worksheet from a prestigious institution. Participants express admiration for anyone capable of solving the problems presented, which are deemed standard textbook exercises. Suggestions include using substitution methods for integration and leveraging online integrators or calculators for assistance. The discussion emphasizes the importance of demonstrating attempted solutions for effective help.

PREREQUISITES
  • Understanding of calculus concepts, specifically integration techniques
  • Familiarity with substitution methods in calculus
  • Experience with online integration tools or calculators
  • Ability to analyze and differentiate functions
NEXT STEPS
  • Research advanced integration techniques, including integration by parts
  • Explore online tools such as Wolfram Alpha for calculus problems
  • Study the concept of reverse engineering solutions in calculus
  • Practice solving textbook integration problems for skill enhancement
USEFUL FOR

Students, educators, and anyone seeking to improve their calculus integration skills, particularly those tackling advanced problems from academic worksheets.

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Hey, welcome to PF. You'll have to show us what you have tried on a case by case basis. See the FAQ at the top of this forum.

That said the first one looks like a substitution would help.
 
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They look like pretty standard integrals to me. Basically textbook exercises.
 
HallsofIvy said:
They look like pretty standard integrals to me. Basically textbook exercises.

SHH. No, we're just geniuses. :wink:
 
Speak for yourself, I have the most basic education in calculus. Now Middle Earth folk lore, that be different. I is genius there. :smile:

Have you tried an internet integrator, or a calculator? When I get stuck I always look at the answer and differentiate it, it helps me to figure out where to go in my head sometimes. Sort of reverse engineering. As said even with my calculus skills some of those don't look all that hard.
 

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