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GEIvey
Posts:
14
From:
here
Registered:
6/5/12


Re: integration by substitution
Posted:
Jun 5, 2012 8:14 PM


You can separate x^3 into x^2(x) so your integral int x^3(1 x^2)^(1/2)dx= int x^2(1 x^2)^(1/2)(xdx)
Now let u= 1x^2 so that du= 2xdx and (1/2)du= xdx. Also x^2= 1 u so your integral becomes int (1 u)u^(1/2)(1/2)du= (1/2)\int (u^(1/2) u^(3/2))du.



