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A level integrating by parts maths question

I’m tryna do this question but i don’t know where to go from here
Reply 1
Original post by esha06
I’m tryna do this question but i don’t know where to go from here

Reply 2
Original post by esha06

Image isnt showing for me.
Reply 3
Original post by mqb2766

Image isnt showing for me.


Does this link work

https://share.icloud.com/photos/0c0tnI9hLD4nV4XJz_axY0Oww
Reply 4

Id have taken
u = tan(x)
as youve the sec^2 multiplied by it. Then maybe a second sub for the sqrt.
(edited 2 months ago)
Reply 5
Original post by mqb2766

Id have taken
u = tan(x)
as youve the sec^2 multiplied by it.


They gave me the u as 1+tanx
Reply 6
Original post by esha06
Id have taken
u = tan(x)
as youve the sec^2 multiplied by it.


They gave me the u as 1+tanx
Basically the same (without the second sub). You had u^2 = 1+tan. Id agree with u=tan+1
Reply 7
Original post by esha06
Id have taken
u = tan(x)
as youve the sec^2 multiplied by it.


They gave me the u as 1+tanx
Note if youd done (properly)
u^2 = 1+tan(x)
then you get
2 u du = sec^2(x) dx
so your integrand becomes
2 u^2 (u^2-1) du
which is basically the same as the u=1+tan substitution.
(edited 2 months ago)
Reply 8
Original post by mqb2766
Original post by esha06
Id have taken
u = tan(x)
as youve the sec^2 multiplied by it.


They gave me the u as 1+tanx

Note if youd done (properly)
u^2 = 1+tan(x)
then you get
2 u du = sec^2(x) dx
so your integrand becomes
2 u^2 (u^2-1) du
which is basically the same as the u=1+tan substitution.

Ohhhh i think i get it thank u

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