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standard integrals

Definition/Summary
This article is a list of standard integrals, i.e. the integrals which are commonly used while evaluating problems and as such, are taken for granted. This is a reference article, and can be used to look up the various integrals which might help while solving problems.

Equations
See extended explanation below

Scientists

Recent forum threads on standard integrals
 
Breakdown
Mathematics
> Calculus/Analysis
>> Calculus

See Also

Images

Extended explanation
List of Standard Integrals

1. Integrals of Polynomial functions

i] Click to see the LaTeX code for this image

ii] Click to see the LaTeX code for this image

2. Integrals of Exponential functions

iii] Click to see the LaTeX code for this image

iv] Click to see the LaTeX code for this image

2. Integrals of Trignometric functions

v] Click to see the LaTeX code for this image

vi] Click to see the LaTeX code for this image

vii] Click to see the LaTeX code for this image

viii] Click to see the LaTeX code for this image

ix] Click to see the LaTeX code for this image

x] Click to see the LaTeX code for this image

xi] Click to see the LaTeX code for this image

xii] Click to see the LaTeX code for this image

xiii] Click to see the LaTeX code for this image

xiv] Click to see the LaTeX code for this image

3. Integrals of Hyperbolic Functions

xv] Click to see the LaTeX code for this image

xvi] Click to see the LaTeX code for this image

xvii] Click to see the LaTeX code for this image

xviii] Click to see the LaTeX code for this image

4. Integrals of Reciprocals of Quadratic and Root Quadratic functions

xix] Click to see the LaTeX code for this image

xx] Click to see the LaTeX code for this image

xxi] Click to see the LaTeX code for this image

xxii] Click to see the LaTeX code for this image

xxiii] Click to see the LaTeX code for this image

xxiv] Click to see the LaTeX code for this image

xxv] Click to see the LaTeX code for this image

xxvi] Click to see the LaTeX code for this image

xxvii] Click to see the LaTeX code for this image

xxviii] Click to see the LaTeX code for this image

5. Integrals of Root Quadratic functions

xxix] Click to see the LaTeX code for this image

xxx] Click to see the LaTeX code for this image

xxxi] Click to see the LaTeX code for this image

6. Integrals of Inverse Trignometric Functions

xxxii] Click to see the LaTeX code for this image

xxxiii] Click to see the LaTeX code for this image

xxxiv] Click to see the LaTeX code for this image

7. Definite Integrals

xxxv]Click to see the LaTeX code for this image

xxxvi]Click to see the LaTeX code for this image

xxxvii]Click to see the LaTeX code for this image

xxxviii]Click to see the LaTeX code for this image

Commentary

tiny-tim @ 12:36 PM Nov14-09
Added = arccos to xxiii] = arcsin to xxiv] = tanh-1 to xxv] and xxvi] = sinh-1 to xxvii] and = cosh-1 to xxviii]. Also added some missing dx's.

Gib Z @ 03:22 AM Jan17-09
Fixed up the latex on x] which wasn't showing up the cosec.

tiny-tim @ 01:33 PM Jan16-09
shortened title from 'List of Standard Integrals' to 'standard integrals' to get some autolinking

cristo @ 03:19 AM May18-08
I've fixed some more LaTex.

Gokul43201 @ 10:53 PM May17-08
Fixed some LaTeX and added section 7, as requested. Bold formatting doesn't work in Equations section, so I decided to leave all the integrals under the extended explanation section.

Hootenanny @ 02:17 PM May17-08
Modified the title and corrected some LaTeX.


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