$\displaystyle \int\frac{1}{3 + 2cos(x)}*dx$ let cos(x) = ?
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Originally Posted by Selim $\displaystyle \int\frac{1}{3 + 2cos(x)}*dx$ let cos(x) = ? See this link: integrate 1/(3+2cosx) - Wolfram|Alpha Click on "show steps"
How did they know to do that?
Originally Posted by Selim How did they know to do that? It is a standard substitution known as the Weierstrass substitution. There are logical mathematical reasons for where it comes from but which are beyond the scope of what you're learning.
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