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Question 15 {1' poinE} Let LIE determine the total area formed by the graph of y=m3-3m2$+3 and the xaxi5. For the region above the x-axiS. the area i5 equal to f{ ion with limits from to [in the other hand. for the region below the xaxiSJ the area i5 ft } Eb: with lim "25 from to Finally, combining the two the total area of the region is Square uniis. Question 17 (6 points) Evaluate the definite integral x sin(x ) - sin x cose da 1 / 2 Solution: For the first term, let u = and for the second term, u = Evaluating the integral, and SIMPLIFYING, we will get (-1/2) , to be evaluated from pi/2 to pi. Evaluating the answer, we will get (-1/2) + Blank 1: Blank 2: Blank 3: Blank 4: Blank 5: Blank 6:Question 21 {5 points] The slope of a curve at any point is given by 2): + 3. Find the equation ofthe curve if it passes through [2. 4). Solution: The slope respresents the of the required function. which can he obtained by y =./ dx = + C. To solve for the value of C. we impose the condition that the curve passes through [2, 4}. The value 0ft 2 . Thus, the required function is v 2 Blank 1:| Blank 2:| Blank 3: Blank 4: Blank 5:|