MATH 112 Midterm: MATH 112 UW derivsandints
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Evaluate the integral: compute the derivative. (a) f (x) = x3ex + 1 (b) z = y ln(y) y2 + 5 (c) g(t) = ln(cid:16) t3 (d) y = xex3. + 2r(cid:17)5 (f) q(r) = (ln(r))3(cid:16)e4r2 (g) f (x) = (1 + 2x ln(x))6 (h) f (t) = pln(t2. 3t) + 7 x2 + 1 x 7 ln(x2. 4x) (x5)( 3x + 1) (i) u = (j) y = ex ln x (k) h(v) = 3t) (l) g(t) = (2t + 1)1/5 (m) m(v) = ln( vev3 (n) a(t) = (6t3 + ln t)7 + ln(t + et) Ln(x2 + 3) (p) f (x) = (cid:2)1 + (ln x)3(cid:3)5 (q) a(m) = z m. 2 x2 2ex + 7x + 3(cid:19) dx. 2 dx (a) z (cid:18) 2t (b) z (cid:18)u3/2 + (c) z (cid:18) x (d) z (cid:18) 3 (e) z (cid:18) 4 x5 (f) z (cid:18) 3 (g) z 2.
