Integration Flowchart

Can you design a flowchart which gives guidance on integrating an expression? The flowchart could contain decision boxes (questions) and output boxes (answers). Here are some suggestions for questions and answers, though you will probably make up your own.

Questions

• Is it a simple integration?
• Do you recognise it?
• Is it a product?
• Is it a fraction?
• Is it a proper fraction?
• Is the top the differential of the bottom?
• Are partial fractions possible?
• Is the numerator the basic derivative of a function within the denominator?
• Is it a trig expression?

Answers

• Treat each part as a separate integration... go back to start
• Split into partial fractions
• Divide the numerator by the denominator
• Substitution
• See formula sheet
• Manipulate using trig identities
• Do it
• Integrate by parts
• Use Log_e
• ?