What is the antiderivative of f (x) = x? Evaluate (-3-2x+x-1)dx. = 22 and f f (x)dx = 10, what is the value of f f (x)dx? If f(x)dx = 22 and f == Find 4* dx. Find cscx (cot x + csc x) dx. Let F(x) = In tdt. What is F' (x)? Let f (x)=x+2 on [-5, 1]. What is the average value of f? For what values of x does the average value occurs? Show all your work. If f(t)dt = 3x + 12x, what are the possible values of a? Verify that your values of a are correct. Show all your work. The acceleration, in feet per second per second, of an object is given by the acceleration function a (t) = 2 sint+1. The initial velocity is v (0) = 0 and the initial position is s (0) = 3. Find the equation of velocity function. Find the position function and the average value of the position function from time t = 2 seconds to t = 5 seconds. Show all your work. For an indefinite integral, use the notation INT in place of the symbol. For example, f (x + 1) dx should be written as INT (x + 1) dx. For a definite integral, use the notation INT (a, b). For example, (x + 1) dx should be written as INT (1, 2) (x + 1) da. For a definite integral that has been integrated, use the notation EVAL (a, b). For example, ( (+x) 1 +x EVAL (1, 2). + x should be written as (B Math symbols Relations Geometry Groups Trigonometry Statistics Greek Find the area under the curve f (x) = x from x = 0 to 2 using LRAM, MRAM, and RRAM, each using n = 4, and also using integration. Show all your work. For an indefinite integral, use the notation INT in place of the symbol. For example, f (x + 1) dx should be written as INT (x + 1) dx. For a definite integral, use the notation INT (a, b). For example, (x + 1) dx should be written as INT (1, 2) (x + 1) da. For a definite integral that has been integrated, use the notation EVAL (a, b). For example, ( (+x) 1 +x EVAL (1, 2). + x should be written as (B Math symbols Relations Geometry Groups Trigonometry Statistics Greek