H5: Further Integration

From the DfE Mathematics AS and A-Level Content (LINK):

PLAYLIST

Reversing the Chain Rule

H5-01 Further Integration: Reversing the Chain Rule

H5-02 Further Integration: Examples of Reversing the Chain Rule Part 1

H5-03 Further Integration: More Reversing the Chain Rule

H5-04 Further Integration: Examples of Reversing the Chain Rule Part 2

H5-05 Further Integration: Reversing the Chain Rule with Trigonometry

H5-06 Further Integration: Examples of Reversing the Chain Rule Part 3

H5-07 Further Integration: Reversing the Chain Rule with Exponentials

H5-08 Further Integration: Examples of Reversing the Chain Rule Part 4

H5-09 Further Integration: Reversing the Chain Rule with Reciprocals

H5-10 Further Integration: Examples of Reversing the Chain Rule Part 5

H5-11 Further Integration: Why does 1/x Integrate to ln|x|+c?

Integration by Substitution

H5-12 Further Integration: Introducing Integration by Substitution

H5-13 Further Integration: Examples of Integration by Substitution Part 1

H5-14 Further Integration: Integrating x(2x^2 + 3)^6

H5-15 Further Integration: Examples of Integration by Substitution Part 2

H5-16 Further Integration: Integrating (2x - 5)(2x + 7)^8

H5-17 Further Integration: Examples of Integration by Substitution Part 3

H5-18 Further Integration: Integrating cos(x)*sin^2(x)

H5-19 Further Integration: Examples of Integration by Substitution Part 4

H5-20 Further Integration: Definite Integrals with Integration by Substitution

H5-21 Further Integration: Examples of Definite Integrals Part 1

H5-22 Further Integration: Examples of Definite Integrals Part 2

H5-23 Further Integration: Find the Area Between Two Curves

H5-24 Further Integration: Tricky Integration by Substitution Problems

H5-25 Further Integration: A Tough Integration by Substitution Problem

Integration by Parts

H5-26 Further Integration: Introducing Integration by Parts & LATE 

H5-27 Further Integration: EXTENSION Deriving the Integration by Parts formula

H5-28 Further Integration: When Integration by Parts goes Right

H5-29 Further Integration: When Integration by Parts goes Wrong

H5-30 Further Integration: Integration by Parts with Definite Integrals

H5-31 Further Integration: Examples of Integration by Parts

H5-32 Further Integration: Integrate x*(x+1)^5 by Parts

Integrating ln(x)

H5-33 Further Integration: Integrating ln(x)

Integration by Parts Twice

H5-34 Further Integration: Integrating by Parts Twice

H5-35 Further Integration: Integration by Parts Twice Example 1

H5-36 Further Integration: Integration by Parts Twice Example 2

H5-37 Further Integration: Integration by Parts Twice Example 3

The Tabular Method for Integration by Parts

H5-38 Further Integration: Tabular Method for Integration by Parts

H5-39 Further Integration: Examples of the Tabular Method

Further Integration

H5-40 Further Integration: Find the Area Between Two Curves

H5-41 Further Integration: EXTENSION Integrate sin(x)*e^x

H5-42 Further Integration: Integrating tan(x) and cot(x)

H5-43 Further Integration: EXTENSION Integrating cosec(x) and sec(x)