AP CALC AB :: WORKED OUT PROBLEMS :: PROBLEMS IX:: Please refer to the images below for a step-by-step work out of problems. We will go over it during next lunch tutoring session ::
1) integral from 2 to x: (3t^2 -1) dt = _____. 2) integral from 1 to 2: dx/2x+1 = ____. 3) lim x to infinity: x^3/e^3x is ____. 4) using the substitution u=sin(2x)cos(2x), integral from pi/6 to pi/2: sin^5 (2x) dx is equivalent to _____. 5) The function f has a first derivative given by f '(x) = x(x-3)^2 (x+1). At what values of x does f have a relative maximum?