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 Flashcards Matching Hangman Crossword Type In Quiz Test StudyStack Study Table Bug Match Hungry Bug Unscramble Chopped Targets

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# Integrals

u dv uv + int v du
F(f(x)) int F(x)/f'(x) dx
1/x ln|x| +C
a^x a^x / (ln(a)) +C
sin(x) -cos(x) +C
cos(x) sin(x) +C
tan(x) ln(sec(x)) +C
cot(x) ln(sin(x)) +C
sec(x) ln(sec(x) + tan(x)) +C = ln(tan(u/2 + pi/4)) +C
csc(x) ln(tan(x/2)) +C
sec^2(x) tan(x) +C
csc^2(x) -cot(x) +C
tan^2(x) tan(x)-x +C
cot^2(x) -cot(x)-x +C
sin^2(x) 1/2(x-sin(x)cos(x)) +C
cos^2(x) 1/2(x+sin(x)cos(x)) +C
sec(x)tan(x) sec(x) +C
csc(x)cot(x) -csc(x) +C
1/(x^2 + a^2) tan^-1(x/a)/a +C
1/(x^2 - a^2) ln((x-a)/(x+a))/2a +C
1/sqrt(a^2 - x^2) sin^-1(x/a) +C
1/sqrt(x^2 + a^2) ln(x + sqrt(x^2 + a^2)) +C
1/sqrt(x^2 - a^2) ln(x + sqrt(x^2 - a^2)) +C
1/(x sqrt(x^2 - a^2)) 1/(a sec|x/a|) +C
1/(x sqrt(x^2 + a^2)) -ln((a + sqrt(x^2 + a^2))/x)/a
1/(x sqrt(x^2 - a^2)) -ln((a + sqrt(x^2 - a^2))/x)/a
x e^x x e^x - e^x +C
Created by: lcarter1239