A-1.1. Ch: 5 (Integral) & Ch: 7 (Techniques of Integration): (3 marks) Question-1 (1 mark): Evaluate the following: d dx Jo cosec Ode Question-2 (0.5 marks): Evaluate the following integral: ( 4710 - 21* + 1512 dt Question-3 (1 mark): Evaluate the following integral by using the Integration by Part formula: fe cosx dx Question-4 (0.5 marks): Evaluate the following integral: tan x dx sec xA-2.1. Ch: 6 (Applications of Integration): (2 marks) Question-1 (1 mark): Find area of the region bounded by f(x) = x +3 and g(x) = x, x=0 and x =1. Question-2 (1 mark): Compute volume of the solid by revolving the region bounded by f(x) = x and g(x) =x about the x-axis (see figures below). y = Vx (1, 1) Ax y=.x2 R= Vx r=x2 (0, 0) Plane region Solid of revolutionA-3. 1. Ch: 11 {Innite Sequences and Series]: (5 marks) Question-1 [1 mark]: Figure out as to whether the following sequence is convergent or divergent? ll" {an}:_l, where 0,, =3\" _1. Question-2 [1 mark}: Show the following series is convergent and nd its sum. I 11 1 1 1 1 227? Its FRINFFF... n=1 Question-3 [1 mark}: Using the Integral Test, determine as to whether the following series convergent or divergent. Question-4 (1 mark]: Using the Direct Comparison Test, is the following series convergent or divergent? I: Z 1 2+J5 n=l Question-5 (1 mark): Using the Limit Comparison Test, determine as to whether the following series is convergent or divergent. 1:: ME\" 43:3 +1 \"=1