Интегралы

∫0 * dx = C

∫1 * dx = x + C

∫xadx = xa+1 / (a + 1) + C, (a ≠ -1)

∫1/x * dx = In|x| + C

∫1/(√1 - x²) * dx = arcsinx + C
∫1/(√1 - x²) * dx = -arccosx + C

∫1/(1 + x²) * dx = arctgx + C
∫1/(1 + x²) * dx = -arctgx + C

∫axdx = ax / Ina + C

∫sinx * dx = -cosx + C

∫cosx * dx = sinx + C

∫tgx * dx = -In|cosx| + C

∫ctgx * dx = In|sinx| + C

∫1/cos²x * dx = tgx +C

∫1/sin²x * dx = -ctgx +C

∫1/sinx * dx = In|tg(x/2)| +C

∫1/cosx * dx = In|tg(x/2 + π-4)| +C

∫1/√(a² - x²) * dx = arcsin(x/a) +C
∫1/√(a² - x²) * dx = -arccos(x/a) +C

∫1/(a² - x²) * dx = 1/a * arctg(x/a) +C
∫1/(a² - x²) * dx = 1/a * -arcctg(x/a) +C

∫1/(a² - x²) * dx = 1/2a * In|(a + x) / (a - x)| + c

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