Integrals necessary memorization

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∫xⁿ dx

(xⁿ⁺¹)/(n+1) + C

∫k dx

kx+C

∫f'(x)+g'(x) dx

f(x)+g(x)+C

∫a×f(x) dx

a∫f(x) dx

∫(1/x) dx

ln |x|+C

∫eˣ dx

eˣ+C

∫aˣ

aˣ/[ln(a)]+C

∫cos(x) dx

sin(x)+C

∫sec²(x) dx

tan(x)+C

∫sec(x)×tan(x) dx

sec(x)+C

∫sin(x) dx

-cos(x)+C

∫csc²(x) dx

-cot(x)+C

∫csc(x)×cot(x) dx

-csc(x)+C

∫ 1/(1+x²) dx

arctan(x)+C

∫1/√(1-x²) dx

arcsin(x)+C

∫1/(x√(x²-1)) dx

arcsec(x)+C

∫-1/(√(1-x²)) dx

arccos (x)+C

∫-1/(1+x²) dx

arccot(x)+C

∫-1/(x√(x²-1)) dx

arccsc(x)+C