Integral Identity of Trigonometric Functions

∫sin x dx

-cos x + C

∫cos x dx

sin x + C

∫tan x dx

ln|sec x| + C

∫sec x dx

ln |tan x + sec x| + C

∫cosec x dx

ln|cosec x – cot x| + C = ln|tan(x/2)| + C

∫cot x dx

ln |sin x| + C

∫sec²x dx

tan x + C

∫cosec²x dx

-cot x + C

∫sec x tan x dx

sec x + C

∫cosec x cot x dx

-cosec x + C

∫sin kx dx

-(cos kx/k) + C

∫cos kx dx

(sin kx/k) + C

∫ 1 dx

x + C

∫ a dx

ax+ C

∫ xⁿ dx

((xⁿ⁺¹)/(n+1))+C ; n≠1

∫ (1/x) dx

ln |x| + C

∫ e^x dx

e^x+ C

a^x dx

(a^x/ln a) + C ; a>0,  a≠1