Question

Antiderivative question
∫(1/√(4-x))dx

Answer 1

\[\int \frac{1}{\sqrt{4-x}}dx\]
let
\[u = 4 - x\]
\[du = -dx\]
so the integral becomes
\[\implies - \int \frac{1}{\sqrt u} du\]
does that help?

Answer 2

so only use whats inside the root, not the whole denominator. ok. it helps a lot, i was getting a really complicated formula. thank you

Answer 3

welcome ^_^

Answer 4

and you can use sqrt (4-x) as u as well although it gets kinda complicated

Answer 5

so for simplicity's sake...it's best to just use the simplest possible substitution