Integration

• ∫ xⁿ dx = (x^{n +1}⁄ n+1) + c
• ∫ e^x dx = e^x + c
• ∫ 1 ⁄ x dx = ln |x| + c
• ∫ cos x dx = sin x + c
• ∫ sin x dx = - cos x + c
• ∫ sec² x dx = tan x + c
• ∫ cosec x cot x dx = - cosec x + c
• ∫ cosec² x dx = - cot x + c
• ∫ sec x tan x dx = sec x + c

Equations

• Integration by parts
  ∫ u (dv ⁄ dx) dx = uv - ∫ v (du ⁄ dx) dx
• Integrating f (ax + b)
  ∫ f '(ax + b) dx = 1⁄ a f(ax + b) + c