ABSTRACT

Why it is important to understand: The t = t a n     θ / 2 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003124238/d91fc1df-3547-4247-bba1-b506bbccefa0/content/math48_3.tif"/> substitution Sometimes, with an integral containing sin θ and/or cos θ, it is possible, after making a substitution t = t a n   θ / 2 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003124238/d91fc1df-3547-4247-bba1-b506bbccefa0/content/math48_4.tif"/> , to obtain an integral which can be determined using partial fractions. This is explained in this chapter where we continue to build the picture of integral calculus, each step building from the previous. A simple substitution can make things so much easier.