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Use part I of the Fundamental Theorem of Calculus to find the derivative of 11(3) = fsinlm) (cos(t3) + t)dt 1 W) [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary *, (, ), etc. ] Given '3 t2 25 f(a:) : A 1 + 0032(13) dt At what value of :1: does the local max of f(:v) occur? Given t :52 + 15.1: + 44 t = d ) ./[; 1 + cos2(a:) a: At what value of i: does the local max of f(t) occur? Use the Fundamental Theorem of Calculus to find the "area under curve" of y = m2 + 9:1: between an : 3 and a: = 7. In your calculations, if you need to round, do not do so until the very end of the problem. Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. 7 / |5cc 5|da: 0 To find the blue shaded area above, we would calculate: b / f(:1:)d:1: = area. Where: Fatwa