Hi all,
Could I have help with
∫(limits 1 and -3) dx/√(x+3) using x=u^2-3
Last edited by Drongoski; 13 Apr 2018 at 5:32 PM.
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Let, then
The integral becomes
(you can choose eitheror
, it doesn't change the answer)
(
)
and the integral should be simple from there...
But another way is to recognise that we can integrate this by inspection:
![]()
Last edited by fan96; 13 Apr 2018 at 3:04 PM.
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1∫(3√3) t2 dt cos(3π/9) = log(3√e) | Integral t2 dt, From 1 to the cube root of 3. Times the cosine, of three pi over nine, Equals log of the cube root of e.
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