SpiralFlex
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Re: MX2 Integration Marathon
![](https://latex.codecogs.com/png.latex?\bg_white $Show that if$\; \int \frac{1}{uf(u)}\; du=F(u)+C, \;$then$\; \int \frac{m}{xf(x^m)}}\;dx = F(x^m)+C)
![](https://latex.codecogs.com/png.latex?\bg_white $Find:$)
![](https://latex.codecogs.com/png.latex?\bg_white $i)$\; \int \frac{1}{x^n-x}\;dx)
![](https://latex.codecogs.com/png.latex?\bg_white $ii)$\; \int \frac{1}{\sqrt{x^n+x^2}}\;dx)
yeah, i knew it was a substitutionLol so simple, can't believe no one got it before
use the fact that:
Fixed!
Now, note that:
therefore our integral can be written as
therefore![]()
lol you forgot to integrate!my solution is mathematically correct, i don't care if it's wrong![]()
i'm not particularly 'good' at 4u but correct me if i'm wrong in saying that:Now, note that:
therefore our integral can be written as
therefore![]()
is the answer: pi/2 ?lol you forgot to integrate!
which gives the correct answer
here is a really difficult one:
good luck
sorry, nopeis the answer: pi/2 ?
(if the answer is right, i'll post solution when i figure out how to do all those integral signs and fractions = / )
i'm not particularly 'good' at 4u but correct me if i'm wrong in saying that:
tan x DOES NOT EQUAL tan( pi/4 - x )?
rather it equals tan ( pi/2 - x )
i'm not particularly 'good' at 4u but correct me if i'm wrong in saying that:
tan x DOES NOT EQUAL tan( pi/4 - x )?
rather it equals tan ( pi/2 - x )
lol you forgot to integrate!
which gives the correct answer
here is a really difficult one:
good luck