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Elementary Integrals

Basic calculus integrals

QuestionAnswer
∫(1/x)dx ln|x|+C
∫(e^x)dx e^x+C
∫(a^x)dx (a^x)/(lna)+C
∫sin(x)dx -cos(x)+C
∫cos(x)dx sin(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
∫tan(x)dx ln|sec(x)|+C
∫cot(x)dx ln|sin(x)|+C
∫sec(x)dx ln|sec(x)+tan(x)|+C
∫csc(x)dx ln|csc(x)-cot(x)|+C
∫(1/sqrt(a^2-x^2))dx sin^-1(x/a)+C
∫(1/(a^2+x^2))dx (1/a)tan^-1(x/a)+C
∫(1/(a^2-x^2))dx (1/2a)ln|(x+a)/(x-a)|+C
∫(1/x(sqrt(x^2-a^2))dx (1/a)sec^-1|x/a|+C
Created by: Paulerbear
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