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## Main Question or Discussion Point

I have taught myself derivatives and I have taught myself the power rule and substitution but the book that I have bin using doesn’t go more in depth than that so what should I learn next?

- Thread starter thharrimw
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I have taught myself derivatives and I have taught myself the power rule and substitution but the book that I have bin using doesn’t go more in depth than that so what should I learn next?

mathman

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as for integrals, you want to start with the Reimann integral. I don't know your purpose of study, but you probably don't want get too deep into the analysis - just the idea adding areas of rectangles under a curve and then making them thinner and thinner (i.e. a limit)

Note the difference between definite and indefinite integrals. The Fundamental Theorem of Calculus is, well, pretty fundamental.

Get the basics down: polynomials, trig functions, logs and exponentials

Then integration by parts. Substitution. Trig Substitution (tricky). I recall partial fractions as well...

A few basic applications might be solids of revolution, and arclength.

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