ABSTRACT
Calculus has widespread applications in science, economics and engineering and can solve many problems. For example, calculus is needed to calculate the force exerted on a particle a specific distance from an electrically charged wire, and is needed for computations involving arc length, centre of mass, work and pressure. Sometimes the integral is not a standard one; in these cases it may be possible to replace the variable of integration by a function of a new variable. A change in variable can reduce an integral to a standard form. The chapter provides students to appreciate when an algebraic substitution is required to determine an integral, integrate functions which require an algebraic substitution, and determine definite integrals where an algebraic substitution is required.
