Section 5.2
Computing Integrals
Building the toolkit. From powers to exponentials to logarithms, we learn the rules that let us dismantle complex expressions.
1
Basic Rules
Power Rule
Where
Log Rule
The case.
Exponential
Easiest derivative, easiest integral.
2
Worked Example: Simplifying Fractions
Rational Simplification
Evaluate .
1. Divide First
No Quotient Rule for integrals! Split it up.
2. Integrate Each Term
3. Final Result
3
Level Up Examples
Example A: Exponentials
Evaluate .
1. Break Constant and e:
.2. Result:
.Example B: Expand Before Integrating
Evaluate .
1. FOIL:
.2. Integrate:
.3. Result:
.5
Practice Quiz
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