- #1
clairez93
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Homework Statement
1. [tex]\int\frac{2}{e^{-x} + 1}[/tex]
[tex]\int\frac{2t - 1}{t^{2} + 4}[/tex]
[tex]\int\frac{4}{4x^{2} + 4x + 65}[/tex]
Homework Equations
The Attempt at a Solution
1. I'm not sure what to do. A u-substitution would give me e^(-x) dx, but I don't see how I could get an e^(-x) dx anywhere in the integrand.
2. Again I have no idea. I'm thinking maybe it will involve arc tan, except the numerator isn't 1, so what would I do with the 2t-1 numerator?
3. I tried completing the square, to get something that resembled an arc tan, but that didn't work too well. I'm not sure what else to do; a u-substitution wouldn't work I don't think that would just get 8x + 4.
No integration by parts or partial fractions allowed yet. Any help appreciated.