True or False

[01(13 :03) dx represents the area below the curve y = a: and above the xaxis minus the area below the curve 3; = :03 and above the xaxis from 3: = 0 to a: = 1. The area of the region bounded by the curves y = a: and y = sin(x) and the lines :c = 0 and :1: = 7r/2 is 7T2/8 4. The square root in the formula for arc length usually makes solving the integral by hand-calculation very difficult. . _ A rst-order linear differential equation of the form 31' + f (y = 9(50) (where f and g are continuous) with one initial condition always has exactly one solution. 3; = A + 06'\" is a solution to the differential equation 34' = My A). @