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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.

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Presentation on theme: "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."— Presentation transcript:

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

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

12 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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