Common Intergrals —

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Common Intergrals

October 3rd, 2010 admin

Below is a table containing a list of common functions and their derivatives.

f(x)	f ‘(x)
c	0
	nx^n-1
ln(x)	1/x
	e^x
	ae^ax
sin(x)	cos(x)
-cos(x)	sin(x)
ln\|sec(x)\|	tan(x)
ln\|sin(x)\|	cot(x)
$sin^{-1}(x)$	$\frac{1}{sqrt{1-x^2}}$
$cos^{-1}(x)$	$\frac{-1}{sqrt{1-x^2}}$
$tan^{-1}(x)$	$\frac{1}{1+x^2}$
sinh(x)	cosh(x)
cosh(x)	sinh(x)

$sinh^{-1}(x)$	$\frac{1}{sqrt{x^2 + 1}}$
$cosh^{-1}(x)$	$\frac{1}{sqrt{x^2-1}}$
$tanh^{-1}(x)$	$\frac{1}{1-x^2}$

If there any more standard derivatives that I have missed out please leave them in the comments section

Categories: Calculus Tags: Calculus, integral, integrate, standard, table

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