Understanding how to approach integration can save you lots of time - which is just what this unit is to be honest

First Question

Is substitution or algebra needed first?

• Can you simplify the expression?
• Can you rewrite the expression?
  • tan → sin/cos
  • $t^3/t+2$ → $t^2t/t+2$
• Can you split the expression?

First Decision

Simplify first by:

• Factoring
• Canceling
• Expanding
• Splitting fractions

Examples:

$(x^2+1)/1 = x+1/x$

Second Decision