Compute the line integral of F over C. (a) F = (,-1, In x) and C is the line segment from (, 4, 2) to (2, 2, 3). (b) F = (y, x²y) and C be the boundary of the quarter-disk x? + y²

Extracted text: Compute the line integral of F over C. (a) F = (,-1, In x) and C is the line segment from (, 4, 2) to (2, 2, 3). (b) F = (y, x²y) and C be the boundary of the quarter-disk x? + y² < 9="" in="" the="" first="" quadrant,="" oriented="" clockwise.="" find="" the="" flux="" of="" f="(x2" -="" z2,="" e²="" –="" cos="" r,="" y)="" out="" of="" the="" closed="" surface="" s="" that="" is="" the="" boundary="" of="" the="" region="" bounded="" by="" x+2y+4z="" in="" the="" first="" octant.="" 4="" and="" the="" coordinate="" planes="" %3d="" (x(t),="" y(t)),="" for="" a="">< b,="" with="" let="" c="" be="" the="" curve="" parameterized="" by="" f(t)="" starting="" point="" p="" and="" ending="" point="" q.="" let="" f="" be="" the="" function="" whose="" values="" along="" c="" are="" given="" by="" h(t)="f(x(t)," y(t)).="" use="" the="" fundamental="" theorem="" of="" calculus="" to="" prove="" the="" fundamental="" theorem="" of="" calculus="" for="" line="" integrals.="" hint:="" first="" find="">