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How to solve this integral:
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\[\int\limits_{}^{}1/(1-x ^{2})\]
what does that long thing before the first one mean?
hint:x=sinu....dx=cosu.du
ln(x+1/1-x^2)
i still don't get it
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SKforlife: It's the symbol for integral equations :D
integ_(cosu.du/1-sin^2(u))=integ_cosudu/cos^2(u)=integ_du/cosu=integ_secu.du integ_secu.du=ln(secu+tanu) draw a triangle..your angle is u..sinu=x then write each other.
i\[=\int\limits{\frac{1}{(1-x)(1+x)}dx}\]break intp partial fractions\[\frac{1}{(1-x)(1+x)}=\frac{A}{1-x}+\frac{B}{1+x}\]
\[\frac{1}{1-x^2}=\frac{1}{2}\left(\frac{1}{1-x}+\frac{1}{1+x}\right)\]
yeah what nikvist did xD
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Did u understnd?
yes, thanks
:)
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