AP CALCULUS: COMPREHENSIVE REVIEW OF SECTIONS 5.6 - 5.7

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Chapter 5-II Review

5.6 Diff’ing Inverse Trig

Derivatives of Inverse Trigonometric Functions

Memorize these!

By now you should know 1-24 of the Basic Differentiation Rules from the front cover of your textbook (also on page 376).

Let u be a differentiable function of x,

5.7 Integrating w/ Inverse Trig

By examining the derivatives of inverse trigonometric functions above, it can be seen that they exists in pairs (ex. ) Because of this, either can be used when calculating integrals; however, it is considered standard to use the derivatives listed on the left side of the box above.

Integrals of Inverse Trigonometric Functions

Memorize these!

By now you should know ALL of the Basic Integration Formulas from the front cover of your textbook (also on page 383).

Let a > 0,

Things to Remember

u substitution

, this includes

Completing the square

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Last modified: 01/09/08