LaTeX Master Latex Integration: Learn How to Form Integrals in Minutes

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The discussion revolves around the challenges of using LaTeX for mathematical typesetting, specifically for writing integral signs and expressions. Participants clarify that to correctly format integrals, one must use the syntax \int followed by the expression, ensuring to include the necessary brackets around the entire formula. The conversation includes a step-by-step breakdown of integrating the function y^7e^y^4, utilizing substitution methods. Key substitutions involve letting u = y^7 and dv = e^y^4, with further transformations to simplify the integral. The importance of proper formatting in LaTeX is emphasized, along with resources for learning more about mathematical typesetting. Overall, the discussion highlights both the technical aspects of integration and the nuances of using LaTeX effectively.
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I don't even know how to put integration signs on this someone help, this is ridiculous lol
 
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Do you mean you want to type \int_a^b ? :confused:

If so, you just type [noparse]\int_a^b[/noparse]. :smile:
 
no there are no boundaries
 
Nvm I can't even write the integral sign I am not going to show all my workings
 
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\inty^7e^y^4dy

let u =y^7, du=y^8/8 dv=e^y^4 let w=y^4, dw=4y^3dy, 1/4dw=y^3dw

v=1/4 =int e^w dw
=(y^7)(1/4e^y^4) - (1/4)(1/8) \int y^8 e^y^4

It doesn't seem like I've made this any simpler at all?
 
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erm … to get
\int y^7e^y^4dy

let u =y^7, du=y^8/8 dv=e^y^4 let w=y^4, dw=4y^3dy, 1/4dw=y^3dw\,,​

type
[noparse]\int y^7e^y^4dy

let u =y^7, du=y^8/8 dv=e^y^4 let w=y^4, dw=4y^3dy, 1/4dw=y^3dw\,,[/noparse]​

You see, you must put [noparse]and[/noparse] around the whole of your formula, not just the \int.

And you must always put the \ before the int. :smile:

I suggest you "bookmark":
http://www.physics.udel.edu/~dubois/lshort2e/node61.html#SECTION008100000000000000000
and maybe
http://www.physics.udel.edu/~dubois/lshort2e/node54.html#SECTION00830000000000000000​
 
Last edited by a moderator:
\int y^7e^{y^4} dy

Let w=y^4 \Rightarrow \frac{dw}{dy}=4y^3 \Rightarrow \frac{dw}{4}=y^3 dy

\int y^7e^{y^4} dy \equiv \int (y^4)e^{y^4} (y^3 dy) \equiv \int \frac{1}{4} we^w dw


Easier now.
 

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