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indefinite integrals

QuestionAnswer
0 dx C
dx x + C
x^a dx x^a+1/a+1 + C
dx/x^2 -1/x + C
dx/sqrt(x) 2sqrt(x) + C
dx/x ln|x| + C
a^x dx a^x/ln(a) + C
e^x dx e^x + C
sinx dx -cosx + C
cosx dx sinx + C
dx/cos^2x tgx + C
dx/sin^2x -ctgx + C
dx/x^2+a^2 1/a arctg x/a + C
dx/x^2 + 1 arctgx + C
dx/x^2-a^2 (высокий интеграл) 1/2a ln|x-a/x+a| + C
dx/sqrt(a^2-x^2) arcsin x/a + C
dx/sqrt(1-x^2) arcsinx + C
dx/sqrt(x^2 +- a^2) (длинный интеграл) ln|x+sqrt(x^2 +- a^2)| + C
dx/sinx ln|tg x/2| + C
dx/cosx |ln(x/2 + Pi/4) + C
Created by: kxsor1
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