Question

Can someone help me with this Integral?
integral from 0 to 5 (x+1/(sqrt(x+4))
The correct answer is 20/3.
P.S. I tried u- substitution but it didn't work for me.

Answer 1

is it \(\large \int \limits_0^5 \dfrac{x+1}{\sqrt{x+4}}dx\)
the substi. of \(u=\sqrt{x+4}\) should work.

Answer 2

ok I'll try it again. I used u=x+4

Answer 3

ohh...try \(u=\sqrt {x+4}\)
not quite difficult :)

Answer 4

so, did you get it ? or still trying ?

Answer 5

still trying to work it out.. trying to find x

Answer 6

find x ?
in terms of u ?
see whether u get x= u^2 -4

Answer 7

then is du= 1/2sqrt(x+4) ?

Answer 8

yes.

Answer 9

ok i got it thanks!

Answer 10

happy to help :)
welcome ^_^