MATH 113 Final: MATH 113 BYU FinalW2006
Document Summary
0 sin x dx : r ln x dx , r /2, r tan x sec2 x dx , the taylor series for e2x, centered at 0, is. X2 + 4: z, the de nite integralr 3 by revolving the curve y = x2 dx can be integrated using the trigonometric substitution x = 0 2 x x2 + 1 dx represents the volume of the solid of revolution generated. Use the following chart to show your choices for problems 7 13. Only this chart will be graded on these problems. 2 (1 + sin x)p1 + cos2 x dx. (1 + sin x)p1 + sin2 x dx. 2 sin xp1 + sin2 x dx (d) z (f) z 2 . Sin xp1 + cos2 x dx (h) none of these. 4 a2 (c) a (d) a2 (e) 1. 2 a2 (j) none of these: region r lies in the rst quadrant, has area 6, and has centroid (4, 7).
