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Integrating The Squares of sin(x), cos(x), sec(x) and tan(x) | Year 2 Pure | A Level Maths

Direct integration of sin^2 x and cos^2 x requires a trig identity to convert the integrand into a friendlier form. In this lesson you will learn how to use the cosine double angle formulae to integrate sin^2 x, cos^2 x and cos^2 (3x), use the standard integral of sec^2 x, and rearrange the Pythagorean identity to integrate tan^2 x as sec^2 x — 1. The skills feed directly into integration by parts and substitution.

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Lesson Video On Integrating The Squares of sin(x), cos(x), sec(x) and tan(x)

Follow the lesson video carefully with a pen and paper. By the end of it you should be comfortable with this topic. If you want a blank copy of this lesson to follow along, scroll down to the PDF viewer below and select “Student Notes Template” and download using the link at the top of the PDF viewer.

Lesson Resources For Integrating The Squares of sin(x), cos(x), sec(x) and tan(x)

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