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If f(1) = 3, and f'(1) = 6, and f(x) dx = 4, determine 0 x2 . f(x)dx = Hint: I.B.P and FTC(tan(2))10 . (sec(x))'dr

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If f(1) = 3, and f'(1) = 6, and f(x) dx = 4, determine 0 x2 . f"(x)dx = Hint: I.B.P and FTC(tan(2))10 . (sec(x))'dr = + C2272 Evaluate the integral: dx V 49 - 2-2 (A) Which trig substitution is correct for this integral? Ox = 49 sec(0) Ox = 7 tan(0) Ox = 49 tan(0) Ox = 7 sin(0) Ox = 49 sin(0) Ox = 7 sec(0) (B) Which integral do you obtain after substituting for a and simplifying? Note: to enter 0, type the word theta. (C) What is the value of the above integral in terms of 0? + C D) What is the value of the original integral in terms of a? + CEvaluate the integral: / x3v1 + 81x2dx (A) Which trig substitution is correct for this integral? 1 Ox= 81 tan(0) 1 Ox = 81 sec (0) (0) soo 6 = 0 Ox = 81 sin(0) Ox = sec(0) Ox = q tan(0) (B) Which integral do you obtain after substituting for a and simplifying? Note: to enter 0, type the word theta. de (C) What is the value of the above integral in terms of 0? + C (D) What is the value of the original integral in terms of a? + CFind the arclength of y = 3x2 + 4 on 0

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