Integration and kinematics – Additional Mathematics notes (Cambridge O Level)

Reverse of differentiation: ∫xⁿ dx = xⁿ⁺¹/(n + 1) + c (n ≠ −1); ∫eᵃˣ dx = eᵃˣ/a + c; ∫1/x dx = ln x + c; ∫sin ax dx = −cos ax/a + c; ∫cos ax dx = sin ax/a + c; ∫(ax + b)ⁿ dx = (ax + b)ⁿ⁺¹/[a(n + 1)] + c.