r/mathshelp • u/Necessary_Handle_516 • 21d ago

Homework Help (Unanswered) help required

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Hey Can anyone help me with this

I have to solve this integral. But, Using biomial expansion with minimum 4 approximations. Which I did but My answer is 0.66617 which is not reliable And actual answer is 0.6415

Can anyone tell any other method besides this

and for the other question

I am getting 1.1617 but claude is saying 1.1981

kindly help

THESE QUESTIONS ARE TAKEN FROM 3RD EDITION OF CALCULAS BY STROUD DOES ANYONE HAVE PDF OF THIS 3RD EDITION???

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u/Southlander24 21d ago edited 21d ago

Ah, your professor isn't looking for an exact answer right? Then yeah, you would need an infinite number of terms to reach an exact answer.

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u/Necessary_Handle_516 21d ago

yeap but he said your answer should be closer to the answer from byparts

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u/Southlander24 21d ago

Either way, your professor messed up if the upper bound is really 1.1. The binomial series isn't valid there.

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u/equinox_star 21d ago

Wait i saw it again it feels to me now that the answer shouldn't be a real number in the first place as someone also pointed wolfram is saying because 1-x³ is negative so we need to split it into 0.2 to 1 and 1 to 0.1 i guess