HW_5_5

# HW_5_5 - 14 Evaluate the indefinite integral Student Name...

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Student Name: Sections 5.5 (Due: Monday, 11/26) Happy Thanksgiving! Description : This homework will help you understand the Substitution Rule. Show all work to get full credit. 1) Evaluate the integral by making the given substitution. 2) Evaluate the integral by making the given substitution. 3) Evaluate the integral by making the given substitution. 4) Evaluate the integral by making the given substitution. 5) Evaluate the integral by making the given substitution. (Remember to enter trigonometric powers such as sin 2 x as (sin( x )) 2 .) 6) Evaluate the integral by making the given substitution. 7) Evaluate the indefinite integral. 8) Evaluate the indefinite integral. 9) Evaluate the indefinite integral. 10) Evaluate the indefinite integral. 11) Evaluate the indefinite integral. 12) Evaluate the indefinite integral. 13) Evaluate the indefinite integral.

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Unformatted text preview: 14) Evaluate the indefinite integral. Student Name: 15) Evaluate the indefinite integral. 16) Evaluate the indefinite integral. (Enter all trigonometrical functions in terms of cos and all antitrigonometric functions in terms of atan.) 17) Evaluate the definite integral. 18) A model for the basal metabolism rate, in kcal/h, of a young man is given by the formula below, where t is the time in hours measured from 5:00 AM. What is the total basal metabolism of this man over a 24 hour period? = kcal 19) An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r ( t ) liters per minute. How much oil V leaks out during the first hour? (Give your answer to the nearest liter.) V = liters 20) Consider the continuous function f ( x ) which satisfies the condition below. Find the definite integral. =...
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HW_5_5 - 14 Evaluate the indefinite integral Student Name...

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