Question

can somebody help me to answer my assignment?
substitution:
integral dw over (4w^2-24w+27)^3\2

Answer 1

Did you try trig subsitution
First you need to write the inside of that ( )^(3/2) has
(f(w))^2+a

Answer 2

\[4w^2-24w+27=4(w^2-6w)+27=4(w^2-6w+9)+27-36=4(w-3)^2-9\]

Answer 3

\[=[2(w-3)]^2-3^2\]