Calculus Blog: Indefinite Integrals

Sunday, March 4, 2012

And so we finally learn how to "undo" the derivative. Remember, reversing the power requires two steps:

That's it. :)
And don't forget your 6 trig integrals:

1.) $\displaystyle{ \int \cos x \, \ dx } \ = \ \sin x + C$

2.) $\displaystyle{ \int \sin x \, \ dx } \ = \ - \cos x + C$

3.) $\displaystyle{ \int \sec^2 x \, \ dx } \ = \ \tan x + C$

4.) $\displaystyle{ \int \csc^2 x \, \ dx } \ = \ - \cot x + C$

5.) $\displaystyle{ \int \sec x \tan x \, \ dx } \ = \ \sec x + C$

6.) $\displaystyle{ \int \csc x \cot x \, \ dx } \ = \ - \csc x + C$

AnonymousMarch 5, 2012 at 9:49 PM
Hey you are absolutely right that we should not forget these 6 trig integrals even these are most basic things on which whole calculus is based.
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