IBMathCalculusAA HLAA SL
Integration by Substitution Guide
Master u-substitution technique for solving complex integrals
CalculusIntegrationU-SubstitutionMath AA
The Prompt
Copy this prompt and paste it into ChatGPT to get started
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]
How to Use This Prompt
1
Click "Use in ChatGPT"
The prompt will be automatically copied to your clipboard and ChatGPT will open in a new tab
2
Paste the prompt (Ctrl+V)
In ChatGPT, paste the prompt and replace the placeholder with your specific question or problem
3
Get detailed help
ChatGPT will provide step-by-step guidance following the prompt's structure and IB standards
Related Prompts
Other prompts that might help with your studies
Need More Help?
Try our free AI chatbot for instant IB help across all subjects, or work with an expert human tutor for personalized support.