Question

integrate from 0 to 8. sqroot of (1+4/9x^-2/3) dx

Answer 1

\[\sqrt{1+ \frac{4}{9} x^{-\frac{2}{3} } }\]?

Answer 2

yes

Answer 3

factor out the (4/9) , then do a trig substitution

Answer 4

\[= \sqrt{ \frac{4}{9} ( \frac{9}{4} + x^{-\frac{2}{3} } )} = \frac{2}{3} \sqrt{ \frac{9}{4} +x^{-\frac{2}{3}}}\]

Answer 5

now sub x= (9/4) tan(theta) or something similiar.

Answer 6

or maybe tan^3

Answer 7

uii