integration + inverse trignometry | Mathematics | Page 1

umbral umbra Jul 15, 2025, 6:56 PM

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this is multi correct ques . posting my findings below

deft rampartBOT Jul 15, 2025, 6:56 PM

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umbral umbra this is multi correct ques . posting my findings below

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umbral umbra Jul 15, 2025, 6:59 PM

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https://www.desmos.com/calculator/wqb0cd2jdl
the green and blue curves are the two possible answers i got for the integral.

the black and red curves represent the answers to this ques . i need help to go from my obtained answers to the actual answers

Desmos

Integral

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for the blue curve i put sinx=t and for the green one i put (sinx)^1/2 = t and just did some basic integration

ripe atlas Jul 15, 2025, 7:27 PM

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umbral umbra for the blue curve i put sinx=t and for the green one i put (sinx)^1/2 = t and j...

Show your steps.

ripe atlas Jul 15, 2025, 8:05 PM

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umbral umbra https://www.desmos.com/calculator/wqb0cd2jdl the green and blue curves are the ...

I'd also say that your answer is equivalent, as they only differ by a constant, which is indicated by the +C. So I think it's better to differentiate each option.

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I've arrived at the same conclusions that you have.

umbral umbra Jul 15, 2025, 8:16 PM

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ripe atlas Show your steps.

is it really necessary?? i gotta be somewhere tomorrow so i am in bed rn

umbral umbra Jul 15, 2025, 8:16 PM

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ripe atlas I'd also say that your answer is equivalent, as they only differ by a constant, ...

only possible path ig

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thats probably what the questions wants too

signal crestBOT Jul 16, 2025, 9:00 PM

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@umbral umbra

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signal crestBOT Jul 17, 2025, 6:27 AM

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@ripe atlas The user still needs help with this help request.

umbral umbra Jul 17, 2025, 6:27 AM

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i tried differentiating and soon realised the answer to the integral is in arcsin

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and differentiaing arctan or arccot cant rly give arcsin

ripe atlas Jul 17, 2025, 12:25 PM

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umbral umbra i tried differentiating and soon realised the answer to the integral is in arcsi...

There are certainly ways to convert from arcsin to arctan or arccot.

#integration + inverse trignometry