Evaluate the piecewise function at the given values of the independent variable.
2 answers:
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Integrate indefinite integral:
Solution:
1. use substitution
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=>
=>
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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)
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)