Substitution - AP Calculus - Lecture Notes, Study notes of Calculus

This lecture is from AP Calculus. Key important points are: Substitution, Trignometry, Principles of Derivation, Under a Root, Arguement

Typology: Study notes

2012/2013

Uploaded on 01/31/2013

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Calculus Section 4.5A Notes Learning Targets... 1. Integrate using substitution LT: Integrate using substitution Rewrite the integral... | Flo@a)- o'@ax as... | rood where... u = g(x);du = g'(x) e Key: Pick u you so you see du in the problem. « Common substitutions... o Under aroot o Trig argument o Denominator of a rational expression ¢ Not everything needs to be done using substitution! Integrate. we xr i » [oe —D3(2x)dx aw e Ux Ox 2) | xr? + 37x We exte 3 % Su du tan= aX { 4 T 4 Rue tc [ea (ares) +c| 4 3 = _ | -3x2V25 Fax An si 50 ae 1/2