(adsbygoogle = window.adsbygoogle || []).push({}); Integration Issues...a bit urgent

Hey having problems with five of my assignment questions, any help would be appreciated.

1. The problem statement, all variables and given/known data

(problems attached)

2. Relevant equations

3. The attempt at a solution

For the first one, I tried to solve it by using the sin^{-1}x as 'u' and integrating the u and getting u^{3}/ 3 + c, but that doesn't seem to work. Then I thought I could use the Integration by parts formula, but since its (sin^{-1}x)^{2}, both u and v would be the same....

Second one: I thought of taking the y^{0.5}as the substitution 'u', but it doesn't seem to make much difference.

Third one: I thought I could seperate it into ln( (1+t)^{0.5}) + ln (t^{0.5}) and solve them individually...

Fourth one: The improper fractions technique, but then I can't seem to get legit values for A, B and C

Last one: Direct Comparison Test, comparing it to the fraction: x^{2}/ (x+3)^{3}

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# Homework Help: Integration Issues a bit

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