MATH-0034 Midterm: MATH34 exams Exam1-S13
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12x4 100x + 1 (x3 x)(x3 + x) for partial fractions. (3) evaluate z x sec2(x) dx. 2 x + 2 x2 + 4x + 3 dx = (cid:20) 1. 2 (a) what"s wrong with this solution? ln(cid:12)(cid:12)(cid:12) x2 + 4x + 3(cid:12)(cid:12)(cid:12) (cid:21)2. 2 (ln 15 ln 1) = ln 15. 2 (b) fix it: evaluate that integral or show that it diverges. (6) solve for y from the equation t +(cid:16)2y t2 + 1(cid:17) dy dt = 0, given that y = 1 at time t = 0. Final answer: (7) evaluate z sin16(x) cos3(x) dx. Name, section (8) find the volume of the in nite solid created when e x is revolved around the x-axis, for x 4. Final answer: (9) (a) use integration by parts to evaluate r ln x dx. (b) now, using your answer from the last part, evaluate r (ln x)2 dx.
