Question 9 Evaluate the integral f(x) dx where 203 f(x) = for x <1 for x > 1 6 7 4 5 3 O2 11 2
T (1 point) Evaluate f(x) dx, where J12) f(x) = { 2.2 -ASX < 0 | 3 sin(x), 0 < x < 1. [fle) de =
evaluate JJ. (< –Y) A. ) Integrate f(x, y, z) = x2 + y2 + 22 over the cylinder x2 + y2 < 2,-2 <2<3 (IL dx dy dz Feraluate
Evaluate the Riemann sum for f(x) = x2 + 2x – 1, 1<x< 4 with six subintervals, taking the sample points to be right endpoints.
If 4 - x2 = f(x) < 4+x2 for –3 <x<3, find lim (2) 20
Evaluate the following integrals. Integral x*ln(x^2+3x+2)dx 2. (8 points) Evaluate the following integrals. Answers without supporting work will re- ceive no credit. (a) (5 points) | < ln(x2 + 3x + 2) dx
if x < 1 f(x) = { * if x > 1 Evaluate the definite integral. [ºs(x)dx f(x) dx Evaluate the integral –9|x? – 4x|dx Evaluate the integral $." (048 + x) as Integral =
Use spherical coordinates to calculate the triple integral of f(x, y, z) = y over the region x2 + y2 + z2 < 3, x, y, z < 0. (Use symbolic notation and fractions where needed.) S S lw y DV = help (fractions)
(6) Evaluate the Riemann sum for f(x) = x2 + 2x – 1, 1 < x < 4 with six subintervals, taking the sample points to be right endpoints.
7. Evaluate the circulation integral [/s<= x F) .nds where F(x, y, z) = (x + 3,4+2,2 + y) and S is part of the upper part of the sphere r2 + y2 + 2+ = 25 with 3 <=55(you may use any theorem you find helpful).