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thanks, I know that step, right now I am stuck with interval part

interval
integral?

correct, sorry

oh ok, you didn't say so i thought i'd start from beginning :)
im guessing the sqrt(y+1) part

sqrt is 1/2 power ... just use power rule

so I get 1/2(y+1)^-1/2=t^2/2 ?

\[\int\limits_{ }^{ } x ^{n} = \frac{ 1 }{ n+1 } * x ^{n+1}\]

n here = 1/2

i got 2/3(Y+1)^3/2=t^2/2, right?

yes ... but don't forget constant "+C" on right side