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(1 point) Our goal for this problem is to compute d dx a) Define F(x) = 2 sin(t) dt. What is F'(x)? (Use the Second Fundamental Theorem of Calculus.) F' (x ) = b) What is F(x5)? F(x5) = [2" sin(t4) dt where n = c) Use part (b) and the chain rule to find 12 sin ( 14 ) at . dx sin(14) dt =(1 point) Similar to the last problem, our goal for this problem is to compute d f," sin(+5) at|. a) Let G(t) be an antiderivative of sin(ts), i.e., G'(t) = sin(t) . Write / sin(t) dt in terms of the funciton G(t). (Use the First Fundamental Theorem of Calculus.) *sin(ts ) dt = G( )-G( b) Use part (a) and the chain rule to find [sit sin(s , at ). " [ sit sin( 13 ) at =