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Chapter 8 – Advanced Integration Techniques and Improper Integrals

# Lesson 1 – Tricky Integrand Manipulations

# Lesson 1 – Tricky Integrand Manipulations (Part 2)

# Lesson 2 – Integration By Parts

# Lesson 2 – Integration By Parts (Part 2)

# Lesson 3 – Integration by Partial Fractions

# Lesson 3 – Integration by Partial Fractions (Part 2)

# Lesson 4 – Manipulation of Trig Integrals

# Lesson 4 – Manipulation of Trig Integrals (Part 2)

# Lesson 5 – Trigonometric Substitution

# Lesson 6 – Improper Integrals

# Lesson 6 – Improper Integrals (Part 2)

This chapter begins with tricky yet neat manipulations of integrands to make integrating those very difficult functions much easier. From there, it is off to learn all about a staple in Calculus 2 / BC, integration by parts. Next, you will learn how to integrate by partial fraction decomposition – sounds fancy…it’s just fun! Then you will master the art of using trigonometric identities and some nifty manipulations to solve trigonometric integrals. The second to last lesson is all about trigonometric substitution taught in a way you can understand! This chapter on integration wraps up with a thorough study of improper integrals. What are you waiting for? Get integrating!

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