13.2 Integration by Substitution

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13.2 Integration by Substitution
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• Let w be the inside function
• Write
• Do cross-multiply
• Back to the given integral and do the
  substitution
• Take the integral
• Express the final answer in term of x

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• Yah! We are done.
• What have you studied in MAT 116?
• What is Calculus?

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• What is calculus?
• Calculus is the study of how things change.
• What do you learn in a calculus class?
• Functions, limits, derivatives, integrals,
• Derivatives can used to study applications that
  involve the rate of change such as population
  growth, radioactive decay, optimization problems,
  
• Integrals can be used to calculate the area,
  equation of a curve, business sales,
• How do algebra and calculus differ?

Ex Solving equations to find a particular value
of a variable
Ex How a change in a variable affects another
variable?