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Core 4 Integrating Trigonometric Functions 2

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davidmiles100

This document contains math problems involving trigonometric integration. It asks to: 1) Find the volume formed by rotating y=sin(x) from x=0 to x=Ï€ about the x-axis. 2) Express cos2(x) in terms of cos(2x). 3) Find the area under y=sin(x) from x=0 to x=Ï€. 4) Evaluate the integral of sec2(x) dx.

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Starter Show that . Express in terms of cos 2 x .
Objective: to use identities to integrate trigonometric functions
Question 1 The curve y = sin x is rotated radians about the x axis. Find the volume of the solid formed between x = 0 and x = .
Question 2 Evaluate .
Question 3 Find the area under the graph of between x = 0 and .
Question 4 Evaluate .
Core 3 & 4 Textbook Exercise 1C Page 219 Questions 4, 5, 8 and 9

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Core 4 Integrating Trigonometric Functions 2