Question

Problem 8. (15 pts) Find each of the following integrals. Your answer should use proper notation and show your work. You are not required to simplify your answer. You may use your calculator to check your work, but credit will not be awarded if this is the only method used. (a) ſa bu(a)? dar 10x + doc 3.2 2:12 (2) / x ele de

Answer 1

8 Criven that [Ineses doc 3 Noo, Let Inex)=t differentiate both sides he dx = dt DC when then x=3 t = ln (3) In (9) then ta and x=9 In (9) 7 [Inexs] t² dt doc 20 In (3) ht [:/tudt= t h+1 = (0) (en [[Arco)" [In(3,78 11 그 7 od [lness doc = = ) 8 [[Am.]* – { ln(397

(9 Given that SG prol- + er hela 3x 2002 Now, ५ 37 - 10x" + 287) de zX? = dx dx xp zx for a la + xp 2 7)C 005 4 ln(x) 101 + + c [:: Sx"dx = that I +c] y ln(x) - 2003 - L + c 200 π 16 -oz* = h) = 3 law. – 28 ***

Criven that 3x2 وان معلم * dx Now, Let 3x²=t differentiate both sides 6x dx = dt x dx dt 6 =) é .dt te) + c 3x2 = ㅗ 6 +C [:t= 3x3] = ) Svemos a terc