🧮
O-Level A-Math Calculus Guide
Differentiation and integration for A-Math — concepts, common mistakes, and exam strategy for Sec 3–4.
Differentiation and integration guide for O-Level A-Math — concepts, common mistakes, and exam strategy for Sec 3–4 students.
Want the full explanation? Read our guide: O-Level A-Math Calculus Guide →
Differentiation Basics
Power rule: d/dx (xⁿ) = nxⁿ⁻¹
Constant multiple rule: d/dx (c·f(x)) = c·f'(x)
Sum/difference rule: d/dx (f(x) ± g(x)) = f'(x) ± g'(x)
Integration Basics
Power rule for integration: ∫xⁿ dx = xⁿ⁺¹/(n+1) + C (n ≠ -1)
Constant multiple: ∫c·f(x) dx = c·∫f(x) dx
Definite integrals calculate area under the curve
Frequently Asked Questions
Do I need to memorize all integration formulas?▾
You should memorize the standard forms (power rule, constant multiple) and understand when to apply substitution or integration by parts.
What's the difference between differentiation and integration?▾
Differentiation finds the rate of change (slope); integration finds the accumulation (area under curve). They are inverse operations.
Get More Resources Like This
Subscribe to get LurnIt's latest formula sheets and math tips.