Calculus › Section F · Logarithmic, exponential, and other transcendental functions › Topic F.2
The natural logarithm: integrals
Now the payoff flows the other way: 1/x finally gets its antiderivative, and a whole family of quotients, tan x among them, turn out to be logarithms in disguise.
In this topic
- Closing the loop
- The log rule
- Worked example: a linear denominator
- Worked example: derivative over itself
- Harvesting the trig integrals
- The secant trick
- Worked example: a definite integral with a log
- Divide before you integrate
- Common mistakes to avoid
- Key takeaways
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Standards: 6