2. Integrate the following functions: 5x2 a. dx x3-2 b. S xvx2 - 4 dx c. [- - 5x-1/2 + e7x dx d. f tan x dx e. J secx dx f. S xvx - 4dx g. J x sin(3x2) dx 3. Find the function y(x) satisfying dy dx =. X x2_ and y(0) = In(5). 4. On our moon, the acceleration of gravity is 1.6 m/sec2. If a rock is dropped (starting from rest) into a crevasse, how fast will it be going just before it hits bottom 35 seconds later? (Round to the nearest hundredth.) (Practice Labeling your equations correctly!)2. (a) = In |x3 - 2| + C , (b) = (x2 -4)3/2 + C, (c) 21n (x| - 10vx + ; 1efx + C , (d) In | secx | + C , (e) In | secx + tanx | + C , (f) = (x -4)5/2 +; (x -4)3/2 + C, W (g) - cos(3x2) + C 3. y = = [In |x2 - 5| + In(5)] 4. 56 m/sec