integration 2

i tried opening the underroot term and then completing the square. doesnt work

iTeachChem Helper•12/13/25, 4:49 AM

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iTeachChem Helper•12/13/25, 4:49 AM

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altf4•12/13/25, 5:31 AM

whats the answer

altf4•12/13/25, 5:45 AM

cant we just use integral sqrt(a^2-x^2)

CorrodedCoffinOP•12/13/25, 6:49 AM

whi try kia tha

CorrodedCoffinOP•12/13/25, 6:49 AM

thoda thoda same aaya but somehow arcsin(root(x-1)) hai ans mein

integralofe^2v•12/13/25, 11:04 AM

Idts the ans should be this im getting t/4-sin(4t)/16 where t is arcsin(root(x-1))

integralofe^2v•12/13/25, 11:04 AM

Checked on wolfram

CorrodedCoffinOP•12/13/25, 11:12 AM

kholkar yeh bana /

CorrodedCoffinOP•12/13/25, 11:17 AM

ans key says this

CorrodedCoffinOP•12/13/25, 11:18 AM

arcsin() ke alawa sab shi aa rha

integralofe^2v•12/13/25, 12:17 PM

Yea u cn do like this

CorrodedCoffinOP•12/13/25, 12:38 PM

what about directly applying that IBP formula here

integralofe^2v•12/13/25, 12:49 PM

whats the ibp formula

CorrodedCoffinOP•12/13/25, 12:58 PM

integralofe^2v•12/13/25, 1:20 PM

these 2 terms are equivalent u can prove it using a substituion they differ by pi/2

CorrodedCoffinOP•12/13/25, 2:46 PM

bruh how am i supposed to know this in exam