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TASK 2: ANTIDIFFERENTIATION The graph of y = 423 - 3x3 + 2x - 3 is given in Figure 1. (1) Find the following integral

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TASK 2: ANTIDIFFERENTIATION The graph of y = 423 - 3x3 + 2x - 3 is given in Figure 1. (1) Find the following integral I = / (4x3 - 3x2 + 2x - 3)dx (2) Find the following integral I = / (4x3 -3x2 + 2x - 3)dx (3) Use the solutions to Q2.1 and Q2.2 to find the area bounded by the curve y = 43 - 3x2 + 2x - 3 and the r-axis between r = 0 and a = 2. (4) Find the integral I = (4x3 - 3x2 + 2x - 3)dx. Explain why this is not the same as the area you found in Q2.3. TRIMESTER 2, 2021 60 y 40 20 -2 2 -20 -40 -60 FIGURE 1. Graph y = 4x3 - 3x- + 2x - 3

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