Can you please do number 4 and 5

4) Calculate the area of the region bounded at the top by the x-axis, on the left by the y-axis, on the right by the curve y = In(x) and at the bottom by y =-2. (a) 0.865 (b) 1/3 (c) 2.88 (d) 0.96 [10 Marks] 5) Find the first three nonzero terms in the Maclaurin expansion of the function f(x) = sin(2x). (a) x--x (b) 2x -(2x) +(2x) ... 3! 5! (c) 1- (2x) + (2x)... 4 (d) 2x--x + x 2! W 15 [10 Marks]