, and 
. Calculate the following: 
Q51: The substitution <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5596/.jpg" alt="The substitution
Q52: Let <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5596/.jpg" alt="Let for
Q53: Which of the following equalities holds for
Q54: Find the general antiderivative of <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5596/.jpg"
Q55: Evaluate <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5596/.jpg" alt="Evaluate ."
Q57: Consider the following functions. <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5596/.jpg" alt="Consider
Q58: The substitution <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5596/.jpg" alt="The substitution
Q59: Use trigonometric identities to evaluate the integral
Q60: Let <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5596/.jpg" alt="Let be
Q61: A population is increasing at a rate