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indefinite integrals
Question | Answer |
---|---|
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 |