Calculus › Section F · Logarithmic, exponential, and other transcendental functions › Topic F.8
Inverse trigonometric functions: integrals
Run F.7's derivative table backwards and integrals with square roots and sums of squares finally get closed answers: arcsines and arctangents, with a completing-the-square trick for the stubborn ones.
In this topic
- The table, reversed
- The two main forms
- Where the 1/a comes from
- Worked example: a root form at sight
- Worked example: a square-sum form
- Worked example: complete the square first
- Worked example: an exact area with π
- Choosing between the candidates
- Common mistakes to avoid
- Key takeaways
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Standards: 6