12 questions to be answered I need the answers separately and the work

Evaluate the integral 2 2 (23 - 11) " da by making the substitution u 11. Evaluate the integral (32 + 2 )" by making the appropriate substitution: u = (3x + 2)4 Evaluate the indefinite integral. a' V2 + x'dx Find - 126 - 3 4 Evaluate the definite integral, to 4 decimal places. V2x + 5dz nilactin-.. . Evaluate the indefinite integral. 6 sin?(z)cos(x) da - Speedometer readings for a vehicle (in motion) at 15-second intervals are given in the table. Question Help: Video Written Framnis . . t (sec) 0 15 30 45 60 75 90 Consider the indefinite integral ezz +4 dx: v (ft/s) 0 5 19 34 43 42 31 Estimate the distance traveled by the vehicle during this 90-second period using Le, Re and My. a) This can be transformed into a basic integral by letting Note that left and right approximations are using 6 intervals, while the midpoint approximation is using 3 intervals, and a.)L6 = feet lu= b.) Re - feet b) Performing the substitution yields the integral C.) M3 - feet c) Once we integrate and substitute, the final answer in terms of T is: Onactin - Suppose that in a memory experiment the rate of memorizing is given by M'(t) = - 0.002t + 0.6t, where M'(t) is the memory rate, in words per minute. How many words are memorized in the first 9 minutes? words Approximate the area under the curve y = a from a = 0 to x = 2 using a Right Endpoint approximation with 4 subdivisions and two decimal places. Given the function graphed below, evaluate the definite integrals. [ f(z)de = f(x)dz