Question

the integral from 0 to 25 of dx/ square root (4+ square root x)

Answer 1

\[\int\limits_{0}^{25} dx / \sqrt{4+\sqrt{x}}\]

Answer 2

uses substitution respect to u

Answer 3

u= \[\sqrt{4+\sqrt x}\]

Answer 4

use the derivative

Answer 5

then du = \[1/2(4+\sqrt{x})^{-1/2}\] dx
confused on what to do then

Answer 6

would it be easier to make two separate u subs?

Answer 7

chain rule

Answer 8

1/2sqrt(4+sqrt x )* 1/2 sqrt x

Answer 9

where would you go from there?

Answer 10

correct me if i am wrong, but wouldnt it be to the power of -1/2 rather than 1/2?