Question

how to intergrate x/(5-x)^1/2 by using substitution method?

Answer 1

\[\int\limits_{}^{}\frac{ x }{ \sqrt{5-x} }dx\]
what kind of a substitution are required to make ? algebraic ? trigonometric ?

Answer 2

you could use x=x-5+5 and distribute the denominator between (x-5) and +5

Answer 3

are't we supposed to let U= something? but i dont know which term to let

Answer 4

but why 5-x becomes the numerator after you let 5-x=u?

Answer 5

because u let u=5-x

u=5-x
x=5-u
same thing

Answer 6

oh okay, I get it ! but my lecturer taught different way. Thanks :)