Question: Evaluate the integral by partial fraction 4 dx. (x-1) (x+3)B4. (a) Evaluate the integral by partial fraction (10 marks) 4 (x-1) (x+3) dx. (b) Figure

$Evaluate the integral by partial fraction 4 dx. (x-1) (x+3)B4. (a)$ $Evaluate the integral by partial fraction (10 marks) 4 (x-1) (x+3) dx.$

Evaluate the integral by partial fraction 4 dx. (x-1) (x+3)B4. (a) Evaluate the integral by partial fraction (10 marks) 4 (x-1) (x+3) dx. (b) Figure B4(b) shows a line: y = x intersects with a circle: 2 + y2 = 4 at Point A Line: y = x Point: A (u, v) X Circle: x2+ y2 = 4 Figure B4(b) (i) Calculate the coordinate at Point A. (3 marks) (ii) Given So (v4 - x2) dx = uv4-u2 + 2sin-1(3). (7 marks) 2 Calculate the shaped area enclosed by the circle, the line and the Y axis. [Hint : S (V4 -x2) - x) dx]

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