Calculus Book: pp 297-310

Question 1

u-substitution

Answer 1

• used to find anti-derivatives

Question 2

integral

Answer 2

• In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. Integration is one of the two main operations of calculus, with its inverse, differentiation, being the other. Given a function of a real variable and an interval of the real line, the definite integral.

Question 3

change of variables

Answer 3

• In mathematics, a change of variables is a basic technique used to simplify problems in which the original variables are replaced with functions of other variables. The intent is that when expressed in new variables, the problem may become simpler, or equivalent to a better understood problem.