H2 Math Integration Techniques: A Checklist for Singapore JC Students

H2 Math Integration Techniques: A Checklist for Singapore JC Students

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Frequently Asked Questions

Identify the type of integral and consider basic formulas.
Look for a function and its derivative within the integral.
To break down a complex integral into simpler ones using the formula ∫udv = uv - ∫vdu.
When the integral contains expressions like √(a² - x²), √(a² + x²), or √(x² - a²).
Consider techniques like u-substitution, integration by parts, trigonometric substitution, or partial fractions.
Remember to change the limits of integration according to your substitution.
To decompose rational functions into simpler fractions that are easier to integrate.
Differentiate your result; it should match the original integrand.