Practice Problems for Calculus I - Test III | MTH 125S, Exams of Calculus

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Mth 125s Practice Problems for Test 3 Please show all work neatly and completely using proper technique and notation in the space provided as discussed in class, 1. Compute each definite integral. (a) Joo — 8x3 + 10x - 6) de ) [F- - F + 3) (o) Jaoe* 5) de (@) [(12sin2x + 6c083x + 21 see Txtan 7x) de (e) Jo sec?3x + 20 ese?2x + Sese SxcotSx) de {c —b— +i) Ir wl fine peal 2. Compute each definite integral. @ [eee ax ais 2 0 (b) j 5x4 ws +10 ay (¢) [30% +3)? dx @ j (5x* sin?3x + 5x4 cos?3x) che 0} feso?2x tan?2xdx 3. Compute each definite integral. (a) fret =)" de () J (7x5 + 12x3) sin(x? + 3x") dx x! ©) | x47 ae (da) j sin*3xcos 3xdx 10 @ fOr a 4, Compute each definite integral. © [one + 12-3) dr [| Law art ©{™ x sin(c*) de Cinx)'# € nx, @f Ape ® fiar- 10|de 1 X —- a af" (datys 5. Simplify the expression completely ze foe ot? at. 6. Solve the initial value problem a = 24x} + 12x + 6 where y((1) = 2 and p(1) = 5.