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C4 Integration problem

I'm stuck on this question.

let theta=@

I've did the first step: dx/d@=4root8cos@

what do I do next :confused: the substitution part isnt obvious at all :angry:

substitution is x=4root8sin@
(edited 12 years ago)
integration prblem 2.jpg13.0KB
Reply 1
Avatar for TenOfThem
TenOfThem
18
Can I check is the substitution

x=48sinθx = 4\sqrt8sin\theta
Reply 2
Avatar for TenOfThem
TenOfThem
18
so

128−x2=128−128sin2θ128 - x^2 = 128 - 128sin^2\theta
Reply 3
Avatar for -Illmatic-
-Illmatic-
OP
11
Original post by TenOfThem
Can I check is the substitution

x=48sinθx = 4\sqrt8sin\theta


It is indeed!
Reply 4
Avatar for TenOfThem
TenOfThem
18
so what is

128−x2\sqrt{128-x^2}
Reply 5
Avatar for -Illmatic-
-Illmatic-
OP
11
got it! didnt even read the question :colondollar:

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