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Integration by substitution question?

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Astute. Also,

\mathrm{d}x

instead of

dx

Still learning may way around latex, but I've made it a little more aesthetically pleasing!

Reply 21

Zacken

Original post by aymanzayedmannan

Still learning may way around latex, but I've made it a little more aesthetically pleasing!

You're doing great, it looks bae! :love:

Protip: to make your brackets fit around big expressions, use \left( and \right)

e.g:

\displaystyle \sin \left(\frac{\pi}{2}\right)

v/s

\displaystyle \sin ( \frac{\pi}{2})

Reply 22

TeeEm

Original post by Zacken

Astute. Also,

\mathrm{d}x

instead of

dx

why?

Reply 23

Zacken

Original post by TeeEm

why?

Because d isn't a variable, it's a bit of a two-camp thing, half the mathematicians hate

\mathrm{d}

and the other half hate

d

. Many a fight has gone on over at stack exchange. :laugh:

Reply 24

TeeEm

Original post by Zacken

Because d isn't a variable, it's a bit of a two-camp thing, half the mathematicians hate

\mathrm{d}

and the other half hate

d

. Many a fight has gone on over at stack exchange. :laugh:

I therefore belong to the full italics side.

Reply 25

Ayman!

Original post by Zacken

You're doing great, it looks bae! :love:

Protip: to make your brackets fit around big expressions, use \left( and \right)

e.g:

\displaystyle \sin \left(\frac{\pi}{2}\right)

v/s

\displaystyle \sin ( \frac{\pi}{2})

Thank you. What's the best way of line breaking? I tried posting a solution on one of TeeEm's questions and it completely flopped.

Reply 26

Zacken

Original post by TeeEm

I therefore belong to the full italics side.

Fair enough. :yep:

Original post by aymanzayedmannan

Thank you. What's the best way of line breaking? I tried posting a solution on one of TeeEm's questions and it completely flopped.

Look up the \begin{align} and \end{align} environment here. But imo that's more work than it is worth. What I do is just:

[.tex] latex here [/.tex]

[.tex]Next line here [/.tex] etc...

Reply 27

Notnek

Original post by atsruser

I can't see any significant benefit of one approach over the other, for someone who knows both.

I always encourage students to look for an algebraic/recognition approach to an integral before resorting to substitution.

Substitution is often useful but relying on it can slow you down. And I find that students' general alegbra skills improve if they learn and practice a variety of techniques.

Plus it's just nicer to do algebra :smile: