Integration formula

Integration formula

  • ∫ xn dx = xn+1n+1   where ( n≠ -1 )
  • ∫ dx = x
  • ∫ c xn dx = c xn+1n+1   where ( n≠ -1 )
  • 1x dx = ln x
  • ∫ sin x dx = – cos x
  • ∫ cos x dx = sin x
  • ∫ ex dx = ex
  • ∫ ( u+v ) dx = ∫ u dx + ∫ v dx
  • ∫ sec2 x dx = tan x
  • ∫ cosec2 x dx = – cot x
  • ∫ sec x tan x dx = sec x
  • ∫ cosec x cot x dx = – cosec x
  • ∫ eax dx = 1a eax
  • ∫ sin ax dx = – 1a cos ax
  • ∫ sin (ax+b) dx = – 1a cos (ax+b)
  • ∫ cos ax dx = 1a sin ax
  • ∫ cos (ax+b) dx = 1a sin (ax+b)