Integration sqrt(a^2-u^2), a>0
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∫(sqrt(a^2-u^2))/udu
(sqrt(a^2-u^2))-aln|(a+(sqrt(a^2-u^2)))/u)|
∫(sqrt(a^2-u^2))du
(u/2)(sqrt(a^2-u^2))+(a^2/2)sin^-1(u/a)
∫u^2(sqrt(a^2-u^2))du
(u/8)(2u^2-a^2)(sqrt(a^2-u^2))+(a^4/8)sin^-1(u/a)
∫du/u(sqrt(a^2-u^2))
-(1/a)ln|(a+(sqrt(a^2-u^2)))/u|
∫du/u^2(sqrt(a^2-u^2))
-(1/a^2u)(sqrt(a^2-u^2))
∫(sqrt(a^2-u^2))/u^2du
-(1/u)(sqrt(a^2-u^2))-sin^-1(u/a)
∫u^2/(sqrt(a^2-u^2))du
-(u/2)(sqrt(a^2-u^2))+(a^2/2)sin^-1(u/a)
∫(a^2-u^2)^(3/2)du
-(u/8)(2u^2-5a^2)(sqrt(a^2-u^2))+(3a^4/8)sin^-1(u/a)
∫du/(a^2-u^2)^(3/2)
u/(a^2(sqrt(a^2-u^2)))