should i continue learning year 12 content (5 Viewers)

joeystarbank

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yea english is the BANE of every math student's existence
yeah true, also i have high functioning autism (diagnosed very recently) so that might be why im kinda bad at communications and stuff but good with patterns in maths... its honestly just a theory tho and also im pretty sure my condition is mild
 

pl4smaa21

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yeah true, also i have high functioning autism (diagnosed very recently) so that might be why im kinda bad at communications and stuff but good with patterns in maths... its honestly just a theory tho and also im pretty sure my condition is mild
interesting
 

joeystarbank

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I aint doubting you alright don't get the wrong idea here but can u try to solve this problem if you can I got it from a 4U textbook
View attachment 46276
yeah no worries i might just speak it out rather than writing the whole thing bc i cant be asked

a) Use integration by parts, with one of the parts being x^n u and the other term being v' (the mentality here is that we want to reduce the power of n to n-1 using differentiation so that we can achieve the T_n-1 which is specified in the question. this should evaluate nicely (this is a standard q im pretty sure)

b) we can evaluate T_0 (simple reverse chain rule). then sub n=1 into (a) and then we get T_1 and then we sub that back in recursively and we go up to T_3

c) apply the formula recursively so basically just use the rule on T_n-1 in part (a) and then again on T_n-2 and so on until u get to T_0 which u know and can sub in (i know that explanation was a bit weird so lemme know if u need more)
 

pl4smaa21

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yeah no worries i might just speak it out rather than writing the whole thing bc i cant be asked

a) Use integration by parts, with one of the parts being x^n u and the other term being v' (the mentality here is that we want to reduce the power of n to n-1 using differentiation so that we can achieve the T_n-1 which is specified in the question. this should evaluate nicely (this is a standard q im pretty sure)

b) we can evaluate T_0 (simple reverse chain rule). then sub n=1 into (a) and then we get T_1 and then we sub that back in recursively and we go up to T_3

c) apply the formula recursively so basically just use the rule on T_n-1 in part (a) and then again on T_n-2 and so on until u get to T_0 which u know and can sub in (i know that explanation was a bit weird so lemme know if u need more)
waaw u seem to know ur stuff d/w i understood it a bit like you I did also teach myself a bit of calculus
 

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