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cats and boots

Calculus 2 study flash cards

QuestionAnswer
∫cos(x)dx sin(x)+c
∫sin(x)dx -cos(x)+c
∫sec^2(x)dx tan(x)+c
∫csc^2(x)dx -cot(x)+c
∫sec(x)tan(x)dx sec(x)+c
∫csc(x)cot(x)dx -csc(x)+c
∫dx/√a^2 - x^2 sin inverse of u/a + c
∫dx/a^2 + x^2 1/a tan inverse of u/a + c
∫dx/x√x^2 - a^2 1/a sec inverse of u/a + c
∫tan(x)dx ln|secx|+c
∫cot(x)dx ln|sinx|+c
∫sec(x)dx ln|secx+tanx|+c
∫csc(x)dx ln|cscx-cotx|+c
alternate sec^2(x) tan^2(x) + 1
alternate tan^2(x) sec^2(x) - 1
relevant identity of sin^2(x) 1/2(1-cos(2x))
relevant identity of cos^2(x) 1/2(1+cos(2x))
Integration by parts formula? ∫u*dv = u*v-∫v*du
if √a^2 - x^2 then... asin(ø)
if √a^2 + x^2 then... atan(ø)
if √x^2 - a^2 then... asec(ø)
∫1/x^2 -1/x
∫1/x ln|x|
Created by: 1334347770
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