Integrate indefinite integral:

Solution:
1. use substitution
=>

=>

=>

=>


2. decompose into partial fractions


where A=1/2, B=1/2, C=-1

3. Substitute partial fractions and continue


4. back-substitute u=e^x


Note: log(x) stands for natural log, and NOT log10(x)
You know the sum is negative because the negative integer is larger than the positive integer.
Answer:
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