Hello !

Nope ! There is a problem here !

Substitute

after some working, we have :

(remember,

But the primitive of is . Here, n=1/2 ---> n+1=3/2 ---> 1/(n+1)=2/3

I can't read your answer2. integral (du)/(u(sqrt(5-u^2)))

1/5 ln u/sqrt(5) ln (sqrt(5) + u)/sqrt(5-^2)) + c

It's 1/2 ...3 integral (dt)/(sqrt(t^2 -6t +13))

1/3 arctan (x-3)/2 + c

To check your answers, use this : Wolfram Mathematica Online Integrator

or any mathematical software or calculator !