Use the substitution z = 6 sint, 1 36-22 dz (a) Calculate √√36-22 in terms of t. ≤t≤to simplify the following integral: (b) If the substitution replaces de with f(t) dt then what is the function f(t)? f(t) = 19 (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 . A dt.

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