#if g(1) = 2, g'(1)=3,f'(2) = 5 and Q(x) = (f o g)(x), Q'(1)=

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torpid elmBOT
timid adder
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if g(1) = 2, g'(1)=3,f'(2) = 5 and Q(x) = (f o g)(x), Q'(1)=

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@humble tulip

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i have a question in integration too

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beginner lvl

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if i have

novel inlet
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For the question, u use the chain rule

timid adder
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ye

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tysm

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what abt

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integral (2x+5)/(x^2+5x+1)^3

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∫(2x+5)/(x^2+5x+1)^3

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i turn it to

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(2x+5)(x^2+5x+1)^-3

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i find the 2nd bracket derivative of first one

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whats next

novel inlet
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Yeah so far that’s correct

timid adder
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my examis tmr and i forgot to open integration so im cooked 💔

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its easy tho

timid adder
novel inlet
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Give me a sec to do it on paper I lowkey forgot lol

timid adder
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ik the final answer i js need steps

timid adder
novel inlet
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Yeah

timid adder
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same

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alr

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continue mb

novel inlet
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so umm I lwk forgot but I think you turn the x^2+5x+1 into ‘u’

timid adder
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i dunno

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WAIT

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got it

novel inlet
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Then you turn (2x+5) into ‘du’

timid adder
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(x^2+5x+1)^-3 is the x^n

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and the (2x+5) is the dx

novel inlet
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Yeah (2x+5) is the dx

timid adder
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ill use the x^n+1/n+1 +c

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(x^2+5x+1)^-2 times -2

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so

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-1/2(x^2+5x+1)^-2 + c

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YEAH

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got it

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how to close

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the post

novel inlet
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Yessss

timid adder
novel inlet
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Sorry for the late reply I was checking the answer too

novel inlet
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Np, u did most of the stuff urself

timid adder
novel inlet
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hope u do great in ur exam!

timid adder
novel inlet
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should I close the thing?

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.close

timid adder
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close

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.close

torpid elmBOT
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Solved

Post marked as solved by @timid adder.

Use .unsolved if this was a mistake.

timid adder
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.close

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well