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Mathematics 20 Online
OpenStudy (anonymous):

#How to apply Standard Integral formulas ?

OpenStudy (jhannybean):

By relating them to their identities? example: \(\large \int \sin(x)dx = -\cos(x)+x\)

OpenStudy (jhannybean):

Here's a web page filled with various integrals http://integral-table.com/integral-table.html#SECTION00003000000000000000

OpenStudy (anonymous):

@Jhannybean do you know what standard Integral formulas are ?

OpenStudy (jhannybean):

I believe they would pertain to sine, cosine, tangent, secant, cosecant, and cotangent, perhaps?

OpenStudy (jhannybean):

You can always do a google search of the integrals you need to understand...

OpenStudy (anonymous):

I know @Jhanny but i wana know how to apply them,like this formula,mentioned below \[\int\limits_{}^{}dx/x ^{2}-a ^{2}=1/2a \log \left| x-a/x+a \right| + C\] how to apply this one to a specific type of question ?

OpenStudy (jhannybean):

Ohok,you hadnt mentioned any specific problem. Lets see.

OpenStudy (anonymous):

thats what idk how to go through,would you please tell me the same ?

OpenStudy (jhannybean):

Depends on what your problem consists of, there are certain u substitutions and other methods of simplifications that will simplify your problem into this type of following identity, \(\large \int {\cfrac{dx}{x^2 -a^2}} = \frac{1}{2a} \ln \left|\cfrac{x-a}{x+a}\right| + c \)

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