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Methods of Integration

Michael Green

Michael Green

6 min read

Study Guide Overview

This study guide covers completing the square for integrating expressions involving quadratic polynomials. It explains how to complete the square with and without leading coefficients. The guide also demonstrates using completing the square to apply standard integrals involving arctan and arcsin, provides worked examples and practice questions, and includes a glossary of key terms.

Question 1 of 7

What is the completed square form of x2+4x+1x^2 + 4x + 1?

(x+2)23(x+2)^2 - 3

(x+4)215(x+4)^2 - 15

(x2)2+5(x-2)^2 + 5

(x4)2+17(x-4)^2 + 17