Question

4. [25 points) Solve each of the following definite and indefinite integrals. Show all of your work for full credit. For definite integrals, leave numerical answers in exact form (without rounding). Please double-check to make sure you copy the problems correctly, as minor typos could change the difficulty of these substantially. a. 1(413 – 1/3 + 1)dt b. Syndx

Answer 1

@ 5623_gyen a) do Elr] [36] - Toyota

= 824 – (-1) 43 - 3 [(2) 13 - (-1) 43] + (2 - (-10% = (16-1) - [ 2.249 - 1] +(2+1) = 15 + 3 - 3 2.2.2 + 3 = 60+3+12 - 2.2 V8 - 28 - 3.2-23 put, x2+1=7 axdn = d? = (4.23 454 4 log121+ e = 4 log (2²1) + @ @ (acosxan -a scossaan - Sat (as / Cosade) da - 2 Sin 3x - 23 l finzx + c = x Sinza + Coszt te & Sox Sin (3x) du 3x²=7 6adradz (Sintaa - - Costre = - Cos (30²) + c @ ss 2x lydy zny sway - S Clay) ſway = 2[lny. - dy

now 2[lny. - / ydy] to 2[lay. - + y ) + c row & [ by. y - 4 las. 25 – 28 – ens. 1 + 4 25 lis 2-25 [lazzo] 250s - 23 @ Thain you.