1) Evaluate the following iterated integrals. a) Lo Lo b) ff c) Explain why Fubini's theorem doesn't apply to these integrals? x-y (x+y)3 dydx x-y (x+y)3dxdy

Use the figure to evaluate the definite integrals 8(t) dt and of 2+ 1 77 I y = g(t) नगरी +t 12 3 4 5 (Express numbers in exact form. Use symbolic notation and fractions where needed.) g(t) dt = [₁ g(t) dt: DOCENT DELL SEE IMPORTANT Tuscaloosa PO Box 20109 $7 Bunn Construction Co g(t) dt. Fuscaloosa 761 Rice Mine Rd N. Suite 2 US Ine Svcs C/L TRUCK NO. START 6:00 TRUCK LOAD OF THANKS FOR YOUR BUSINESS DRIVER: CEDRIC WILSON DATE 7-14-22 CONTRACTOR: St BUNN JOB SITE Fayette STOP 2:30 LUNCH D1 DOWN Resources EN DROHTE AM PM Question Source: Rogawski 4e Calculus Ear 91°F Mostly sunny SV AM JOB NO. 21067 TRUCK TYPE HAUL TYPE PM AM PM AM PM DIRT TRI-AXLE STONE ASPHAL OMILL

Question 3 of 15 Use Green's Theorem to evaluate the line integral . F · dr, where F(x, y) = (x²,x²) and C consists of the arcs y = x² and y = 9x for 0 < x < 9. Orient the curve counterclockwise. (Use symbolic notation and fractions where needed.) F- dr = Question Source: Rogawski 4e Calculus Early Transcendentais Publisher W.H. Freema 12 WG MacBook Pro

3) Using the Fundamental Theorem of Calculus (FTC), find the exact values of the following definite integrals: a) (1+sin x) dx b) f¹dx c) S₁ (+/-) da Ti TEXAS INSTRUMENTS