Integration by Parts (3 of 3: Integral of sin¯¹(x))

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6:15 was very cheeky, very cheeky. Sub earned.

gwub

For the integral of x (4-x)^(1/2) dx is more conducive to integrate by de-radicalization, letting the radicand be u^2. So, x = u^2 +4; dx = 2u du and the radical expression becomes u. It bangs out pretty simply.

mathematix-rodcast

This is so useful. It really made me understand integration by parts.

guilhermefreire

Sir Eddie there is a rule created by me called as I LATE ... To choose U and V in integration product rule
I = Inverse function
L= LOG
A= algebraic
T = trigonometric
E = exponential

Which even come first is taken as U other become V

roumanfirdous

derivitive of sine^-1x why can't I use the chain rule method for this? and it becomes -sine^-2x . cosx ?

xanh