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Accipiter46

  • 2 years ago

\[\frac{1}{2}\int_{b-1/2}^{b+1/2}\frac{1}{\sqrt{|x|}}dx=\frac{1}{2}\int_{b-1/2}^{0}\frac{1}{\sqrt{|x|}}dx+\frac{1}{2}\int_{0}^{b+1/2}\frac{1}{\sqrt{|x|}}dx=\sqrt{1/2-b}+\sqrt{1/2+b}\]

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  1. Accipiter46
    • 2 years ago
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    How can I format this to fit the window?

  2. Accipiter46
    • 2 years ago
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    \[\frac{1}{2}\int_{b-1/2}^{b+1/2}\frac{1}{\sqrt{|x|}}dx=\] \[\frac{1}{2}\int_{b-1/2}^{0}\frac{1}{\sqrt{|x|}}dx+\frac{1}{2}\int_{0}^{b+1/2}\frac{1}{\sqrt{|x|}}dx=\] \[\sqrt{1/2-b}+\sqrt{1/2+b}\]

  3. TheViper
    • 2 years ago
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    Yes I too have the same question :/ @satellite73 @sasogeek @ParthKohli Plz help :)

  4. Accipiter46
    • 2 years ago
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    I simply broke the equation up in three parts manually :-)

  5. KingGeorge
    • 2 years ago
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    \[\begin{aligned} \frac{1}{2}\int_{b-1/2}^{b+1/2}\frac{1}{\sqrt{|x|}}dx &= \frac{1}{2}\int_{b-1/2}^{0}\frac{1}{\sqrt{|x|}}dx+\frac{1}{2}\int_{0}^{b+1/2}\frac{1}{\sqrt{|x|}}dx \\ &=\sqrt{1/2-b}+\sqrt{1/2+b} \end{aligned}\]There's no way to get it to format automatically. However, you can use the environment `\begin{aligned}` and `\end{aligned}` to format lines in regards to one another and make it look pretty nice. The code I used to make the above math was `\begin{aligned}` `\frac{1}{2}\int_{b-1/2}^{b+1/2}\frac{1}{\sqrt{|x|}}dx` `&= \frac{1}{2}\int_{b-1/2}^{0}\frac{1}{\sqrt{|x|}}dx` `+\frac{1}{2}\int_{0}^{b+1/2}\frac{1}{\sqrt{|x|}}dx \\` `&=\sqrt{1/2-b}+\sqrt{1/2+b}` `\end{aligned}` "\\" marks a new line, and the "&" signs are automatically lined up.

  6. UnkleRhaukus
    • 2 years ago
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    \[\begin{aligned} \frac 12\int\limits_{b-1/2}^{b+1/2}\frac{dx}{\sqrt{|x|}} &= \frac12\int\limits_{b-1/2}^{0}\frac{dx}{\sqrt{|x|}} +\frac12\int\limits_{0}^{b+1/2}\frac{dx}{\sqrt{|x|}}\\ &=\sqrt{1/2-b}+\sqrt{1/2+b} \end{aligned}\] \[\begin{aligned} \frac 12\int\limits_{b-1/2}^{b+1/2}\frac{dx}{\sqrt{|x|}} &= \frac12\int\limits_{b-1/2}^{0}\frac{dx}{\sqrt{|x|}} +\frac12\int\limits_{0}^{b+1/2}\frac{dx}{\sqrt{|x|}}\\ &=\sqrt{1/2-b}+\sqrt{1/2+b} \end{aligned }\]

  7. ParthKohli
    • 2 years ago
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    @KingGeorge ``` ``` create multi-line here ``` ```

  8. UnkleRhaukus
    • one year ago
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    ``` \begin{aligned} \frac 12\int\limits_{b-1/2}^{b+1/2}\frac{dx}{\sqrt{|x|}} &=\frac 12\int\limits_{b-1/2}^{0}\frac{dx{\sqrt{|x|}} +\frac12\int\limits_{0}^{b+1/2}\frac{dx}{\sqrt{|x|}}\\ &=\sqrt{1/2-b}+\sqrt{1/2+b}\end{aligned} ``` ah, pretty colours

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