maths > integral-calculus

Integration by Combination of Methods

what you'll learn...

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$$\int \sqrt{{\sin}^{2} x - 49} \cos x \mathrm{dx}$ ?

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

summary

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Outline