IBMathCalculusAA HLAA SL

Integration by Substitution Guide

Master u-substitution technique for solving complex integrals

CalculusIntegrationU-SubstitutionMath AA
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Act as an IB Math AA tutor. Help me solve this integration by substitution problem: 1. **Identify the substitution**: Choose $u = $ [inner function] 2. **Find du**: Calculate $\frac{du}{dx}$ and rearrange for $dx$ 3. **Rewrite integral**: Express everything in terms of $u$ 4. **Integrate**: Solve the simpler integral in $u$ 5. **Back-substitute**: Replace $u$ with original expression 6. **Add constant**: Don't forget $+ C$ for indefinite integrals 7. **Verify**: Differentiate your answer to check **Choosing u tips:** - Pick the "inside" function of a composite function - Choose u where du appears elsewhere in the integral **IB Formula Booklet:** Reference standard integrals when applicable **My problem:** [PASTE YOUR INTEGRATION PROBLEM HERE]

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