3 1) Evaluate the integral, using trig substitution: dx . Please be careful to use correct 2 Vx2 + 36 notation and show all your steps, including any appropriate sketches. 2) Evaluate the definite integral exactly: J sin" (x) cos' (x) dx . Please be careful to use correct notation, show all your steps, and simplify your answer. 3) Note that the definite integral |2xtan (x) dx cannot be evaluated with integration by u-substitution or by parts. a) Using the appropriate subintervals, compute LA, R4, MA, and TA, rounded to 4 decimal places. Clearly show your work to find these by hand. Note: You may use a calculator or Desmos to find the function values needed to calculate these, each rounded to 4 decimal places, but otherwise, the calculations should be done by hand, term by term. b) Compute S by hand, rounded to 4 decimal places, clearly showing your work. c) Compare your answers in parts a and b to the actual value, by finding the actual value of the definite integral on Desmos (rounded to 4 decimal places). Which estimate is the most accurate