MATH 1120H Final: MATH1120H-Final-Practice-Solutions
Document Summary
Mathematics 1120h calculus i: integrals and series. Instructions: do parts a, b, and c, and, if you wish, part d. show all your work and justify all your answers. Aids: any calculator; (all sides of) one aid sheet; one (1) brain (no neuron limit). Do all four (4) of 1 4: evaluate any four (4) of the integrals a f. [20 = 4 5 each: z x + 1, z /4, z z cos(2z) dz, z 1, z 1 dy e. z s2 s2 1 te t2. 0 dx sin3(w) cos2(w) dw py2 + 1. We will use integration by parts with u = z and v = cos(2z), so u = 1 and v = 1. 2 cos(2z)(cid:19) + c z sin(2z) + cos(2z) + c (cid:3) 4: we wil use the substitution u = t2, so du = 2t dt and t dt = (cid:0) 1 x 0.
