Integration by Combination of Methods

Overview

» Integration by Combination of Methods

→ when possible, combine the methods learned to work out the integration

one example

how to integrate $\int \sqrt{{\mathrm{sin}}^{2}x-49}\mathrm{cos}xdx$ ?

The answer is "substitute $\mathrm{sin}x=y$ and again substitute $y=7\mathrm{sec}\theta$".

summary

Congrats, completed the entire lesson.

*This is a placeholder to solve exercise problems.*

Outline

The outline of material to learn "Integral Calculus" is as follows.

• Detailed outline of Integral Calculus

→ __Application Scenario__

→ __Integration First Principles__

→ __Graphical Meaning of Integration__

→ __Definition of Integrals__

→ __Fundamental Theorem of Calculus__

→ __Algebra of Integrals__

→ __Antiderivatives: Standard results__

→ __Integration of Expressions__

→ __Integration by Substitution__

→ __Integration using Identities__

→ __Integration by Parts__

→ __Integration by Partial Fraction__

→ __Integration: Combination of Methods__