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05. Reversing the Chain Rule, Integration by Substitution and Integration by Parts

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

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


Integration by Substitution

H5-11 Further Integration: Introducing Integration by Substitution


H5-12 Further Integration: Examples of Integration by Substitution Part 1

H5-13 Further Integration: Integrating x(2x^2 + 3)^6


H5-14 Further Integration: Examples of Integration by Substitution 2


H5-15 Further Integration: Integrating (2x - 5)(2x + 7)^8


H5-16 Further Integration: Examples of Integration by Substitution 3


H5-17 Further Integration: Integrating cos(x)*sin^2(x)


H5-18 Further Integration: Examples of Integration by Substitution 4


H5-19 Further Integration: Definite Integrals with Integration by Substitution


H5-20 Further Integration: Examples of Definite Integrals Part 1


H5-21 Further Integration: Examples of Definite Integrals Part 2


H5-22 Further Integration: Find the Area Between Two Curves


H5-23 Further Integration: Tricky Integration by Substitution Problems


H5-24 Further Integration: A Tough Integration by Substitution Problem


Integration by Parts

H5-25 Further Integration: Introducing Integration by Parts & LATE


H5-26 Further Integration: When Integration by Parts goes Right


H5-27 Further Integration: When Integration by Parts goes Wrong


H5-28 Further Integration: Integration by Parts with Definite Integrals


H5-29 Further Integration: Examples of Integration by Parts


H5-30 Further Integration: Integrate x*(x+1)^5 by Parts


Integrating ln(x)

H5-31 Further Integration: Integrating ln(x)


Integration by Parts Twice

H5-32 Further Integration: Integrating by Parts Twice


H5-33 Further Integration: Examples of Integration by Parts Twice


The Tabular Method for Integration by Parts

H5-34 Further Integration: Tabular Method for Integration by Parts


H5-35 Further Integration: Examples of the Tabular Method


Further Integration

H5-36 Further Integration: Find the Area Between Two Curves


H5-37 Further Integration: EXTENSION Integrate sin(x)*e^x


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