Rewrite the integral using substitution: (a cos(4x5) ) dx O 108 12 JA cos u du O 12 JA 108 cos u du O *108 3 cos u du O -36 1 cos u duRewrite the integral using substitution: a2 cos(x3 ) dx O 25 cos u) du of (cosu) du O 125 -1 cos u) du O 125 1 (cos u) duThe graph shown is x) = 2x + 3. What is the integral function g(t} that denes the area under this line between 1 = 1 and x = 4? The graph shown below is f(x) = 3x2 - 2. If g(x) = Jot f(t) dt , what is g'(2)? AY + + X 5 4 3 2 -14/1 2345 + 0 4 O 10 O 12 O 14The graph shown below is f(x) = 3sin(x). If g(a) = [ f(t) dt , what is g' ()? LY - NWA U1 X 5432-1 12345 0 0 O O O 2TT\f2 What is f'(:1:) given the integral function f(::) = j: m5(e\") Jr\"? a f'(:1:) 2:32an (a) o f'(:1:) = mg (3:) o f'($) = 2:1: ms (332) O f'(m) = 2:1: (:05 (em?) What is the total change at x], if x) = 2x - 3, ever the interval [1, 3]? Cl -3 {3-2 What is the total change of x), if x} = ein{4x), ever the interval [0, 1;] '? 0-1 0_v'_' An object is moving along a horizontal path shown in the graph. LY 5 - 4+ X .6. What is the displacement of the object for the time interval [0, 5]? O Displacement cannot be determined from the information given. O Displacement is 3. O Displacement is -3. O Displacement is 7.A can is filling with water at a rate of r(t) = 213 cm3/sec. If the can was empty at t = 0, what formula describes the amount of water in the can at time t = 2? Do not evaluate the integral. O v(2) = 2+ f- 2+3 dt O v(2) =0- S- 2+3 dt O v(2) = 0+ 2 52 2+3 dt O v(2) = 0+ 52 2+3 dt