Ap multiple choice
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Calculus
Forum reference:
Book page:
http://course-notes.org/Calculus
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Calculus Cheat Sheet
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Derivitives
Subject:
Derivitives
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Miscellaneous Substitutions
Miscellaneous Substitutions:
ex.
Evaluate:
Partial Fractions
Partial Fractions:
Breaking a rational expression into partial fractions is:
Integration by Parts - Tubular Integration
Integration by Parts:
  1. Tubular Integration: Tubular Integration is a process when more than one application of parts is needed, this process will speed things up.
ex.Â
ò x2 sin x dx
Integration by Parts
Integration by Parts
1. Using the formula: uv - o` v du. With this formula, substitute for dv the most complicated term that can be integrated.
ex.
ò x cos x dx
Integrals involving ax² + bx + c
Integrals involving ax² + bx + c:
In order to solve these type of integrals, complete the square of the quadratic equation, then the previous methods can be used to solve the integrals.
ex.
Trigonometric Substitutions
Trigonometric Substitutions
Trig. substitutions are usually used for integrals that involve square roots of quadratic expressions; the trig substitution is used to eliminate the radical sign; the following substitutions are made:
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