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Use the substitution z = 6 tant, -≤t≤to simplify the following integral: dz 36 +22 Note that you may have to check the syntax guide for how to enter squares of trig functions. (a) Calculate 36 +22 in terms of cost. 05 (b) If the substitution replaces de with f(t)dt then what is the function f(t)? f(t) = (c) Hence write the integral in terms of t: [[ (d) Perform this integral, including constant of integration c. (e) Convert your answer from a function of t to a function of . PG dt.

Use the substitution z = 6 tant, -≤t≤to simplify the following integral: dz 36 +22 Note that you may have to check the syntax guide for how to enter squares of trig functions. (a) Calculate 36 +22 in terms of cost. 05 (b) If the substitution replaces de with f(t)dt then what is the function f(t)? f(t) = (c) Hence write the integral in terms of t: [[ (d) Perform this integral, including constant of integration c. (e) Convert your answer from a function of t to a function of . PG dt.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
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Use the substitution = -6 tant, -≤t≤ to simplify the following integral: 1 s 36+: da Note that you may have to check the syntax guide for how to enter squares of trig functions. (a) Calculate 36 +2² in terms of cost. (b) If the substitution replaces de with f(t)dt then what is the function f(t)? f(t) = (c) Hence write the integral in terms of t: S (d) Perform this integral, including constant of integration c. (e) Convert your answer from a function of t to a function of . Ar A₂ dt.
Transcribed Image Text:Use the substitution = -6 tant, -≤t≤ to simplify the following integral: 1 s 36+: da Note that you may have to check the syntax guide for how to enter squares of trig functions. (a) Calculate 36 +2² in terms of cost. (b) If the substitution replaces de with f(t)dt then what is the function f(t)? f(t) = (c) Hence write the integral in terms of t: S (d) Perform this integral, including constant of integration c. (e) Convert your answer from a function of t to a function of . Ar A₂ dt.
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