Integral of rational-form exponential function

In this video, I showed how to compute the indefinite integral of an exponential fraction in the form of a rational function.

This is my video on partial fraction decomposition

[vincentmudimeli]

The world need teacher like you wow keep building the world

[bnice]

You make learning interesting. Nice job😊

[vasanthalakshmi]

I have a question sir how can I send it to you

[jalilhamediniya]

Thanks alot master. You encourage me for learning math. To be successful.🙏🙏🌹

[Orillians]

You know, how adults get nostalgic when they remember their favourite childhood tv shows? This one feels like mine.

[RyanLewis-Johnson-wqxs]

Integrate[e^(2x)/(e^(2x)+4e^x+3), x]=3ln(3^x)+3

[RyanLewis-Johnson-wqxs]

Integrate[e^(2x)/(e^(2x)+4e^x+3), x]= x + (x^2)/8 - (5 x^3)/96 - (11 x^4)/1536 + (217 x^5)/30720 + (581 x^6)/737280 - (20357 x^7)/20643840 + O(x^8) + constant

[ThinkerMahmud]

I enjoy watching them and dream to be a student again.

[ProactiveYellow]

I always like collapsing logarithms as tightly as possible in cases like these, so i got ln(sqrt[(exp[x]+3)³/(exp[x]+1)])+c, which looks nasty in a single line like this, but makes for fewer terms in total. I may be biased because logarithms are my favorite.

[kragiharp]

Hello everyone,
does someone know a video reviewing how to find A and B please?

[mreverything]

This is the kind of problem that I see, take a one minute sigh, then say “This is gonna be one of those days.”

[mathisnotforthefaintofheart]

Partial Fractions is of course classic BUT it can be done without partial fractions through another sophisticated u-subs and some algebra. I will let you think about it

[oshintimothy]

I have a question, i thought u are to replace both exponential-x on the numerator with U but u replace one and cancelled the other out

[iqtime]

3.49I think you did amistak re and see the vidio