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Integration by Substitution

Integration by Substitution. Objectives. Students will be able to Calculate an indefinite integral requiring the method of substitution. Integration by Substitution . Please note that g is continuous and differentiable and f ( u ) is continuous at all points u in the range of g .

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Integration by Substitution

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  1. Integration by Substitution

  2. Objectives Students will be able to • Calculate an indefinite integral requiring the method of substitution.

  3. Integration by Substitution Please note that g is continuous and differentiable and f(u) is continuous at all points u in the range of g.

  4. Example 1 Evaluate the indefinite integral

  5. Example 2 Evaluate the indefinite integral

  6. Example 3 Evaluate the indefinite integral

  7. Example 4 Evaluate the indefinite integral

  8. Example 5 Evaluate the indefinite integral

  9. Example 6 Evaluate the indefinite integral

  10. Example 7 The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the function a. Find the total revenue function if the revenue from 115 gadgets is $45,581. b. How many gadgets must be sold for a revenue of at least $45,000?

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