My Math Forum Struggling with 2 integration problems

 Calculus Calculus Math Forum

September 29th, 2018, 10:49 AM   #1
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Struggling with 2 integration problems

So while I'm pretty confident about what the final answers are,but the way I solved the question and the steps they want us to do aren't really matching so I was hoping someone could help me out with these steps?
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 September 29th, 2018, 12:05 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,302 Thanks: 1971 Can you post clearer images? Regarding the first example, as the function to be integrated uses √x, it makes sense to try substituting x = u², where u is non-negative. As x = u² implies dx/du = 2u, the substitution results in an easier integral in the example presented.
September 29th, 2018, 08:36 PM   #3
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Yeah that makes sense. So what would the next step be, where I got the answers wrong?
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 September 30th, 2018, 02:37 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,302 Thanks: 1971 The image is too fuzzy for me to read it.

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