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13.2 Integration by Substitution

13.2 Integration by Substitution. 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. Yah! We are done. What have you studied in MAT 116? What is Calculus?. What is “calculus”?

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13.2 Integration by Substitution

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  1. 13.2 Integration by Substitution

  2. 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

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

  4. 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?

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