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Integration Help

  • Thread starter Entropy
  • Start date
  • #1
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Okay, I just failed my Calc quiz and I want to know how to do the problems I missed. I failed to integrate two of the three equations that were given. The two I missed were:

[tex]\int\sqrt{1 + e^x}dx[/tex]

[tex]\int\frac{\arctan{\sqrt{t}}}{\sqrt{t}}dt[/tex]

Nothing like this is in our book, I don't know where she gets these problems from. She said we're suppose to use some type of u-substitution but I can't figure out which. Can someone walk me through this?
 

Answers and Replies

  • #2
TD
Homework Helper
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Try the following substitutions:

[tex]t = \sqrt{1+e^x}[/tex]

[tex]u = \sqrt{t}[/tex]
 
  • #3
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TD said:
Try the following substitutions:

[tex]t = \sqrt{1+e^x}[/tex]

[tex]u = \sqrt{t}[/tex]
You may need to use integration by parts as well.
 

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