(1 point) Let F(x) = f : dt for oo

(1 point) Let F(x) = 0 dt for 00 < x < +00 t2 15 (a) Find the value of x where F obtains its maximum value. (b) Find the intervals over which F is only increasing or decreasing. Use interval notation using U for union and enter "none" if no interval. Intervals where F is increasing: (-lnf,l] Intervals where F is decreasing: [1 ,lnf) (c) Find open intervals over which F is only concave up or concave down. Use interval notation using U for union and enter "none" if no interval. Intervals where F is concave up: Intervals where F is concave down: