Integration of all 6 trig functions
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This document provides calculus practice problems for students. It includes instructions to integrate specific functions like sec2x and x2/(x3 + 1) using integration guidelines. Students are also tasked with deriving the tangent formula of integration using logarithmic rules and trigonometric identities. One independent practice problem asks students to find the average value of the function f(x) = tan x between 0 and pi/4.
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1. Find the average value of f(x) = tan x on [0, pi/4 ]
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Integration of all 6 trig functions
- 1. AP Calculus Warm up 2.8.18 Integrate: 𝜋 6 𝜋 𝑠𝑒𝑐2 𝑥 𝑑𝑥 𝑥2 𝑥3 + 1 𝑑𝑥
- 7. Practice Problems 1. Derive the tangent formula of integration using the log rule and trig identities.
- 8. Independent Practice 1. Find the average value of f(x) = tan x on [0, pi/4 ] Recall: