\(\int \sec ^2 x dx = \tan x + c\\ \int cosec ^2 x dx = \cot x + c\\ \int \sec x \tan x dx = \sec x + c\\ \int cosec \cot x dx = -cosec x + c\\ \int \tan x dx = ln|\sec x| + c\\ \int \cot x dx = -ln |cosec x| + c\\ \int \sec x dx = ln |\sec x tan x| + c\\ \int cosec x dx = -ln |cosec x + cot x| + c\\ \)

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\(\int (ax+b)^n dx = \frac{1}{a(n+1)}(ax+b)^{n+1}+c\)