INTEGRATING A RATIONAL FUNCTION USING DECOMPOSITION AND TRIG SUBSTITUTION.

[@willsontheonest1787]

Sir you are more than genius

[@IRENENYONI]

you are to good. Sir what about application of integration...?

[@PrimeNewtons]

Thanks. If you search the Playlists, I'm sure you'll see relevant videos.

[@JESUS_CHRlST]

The factorisation is a lot quicker when the numerator is written as (x^2 + 9) - x^2 and you add a factor of 1/9 out of the integral

[@Pmg-uj3sx]

Great video. Since there are no x's, you could have substituted t for x^2 before the partial fractions, then put x^2 back in before integrating. That would have made the partial fractions much faster.

[@viktor-kolyadenko]

In 9:18 we can set x^2 = t.

[@MuzdalifHossain]

Doesn't x=3tanu work here? Its much simpler that way.

[@EE-Spectrum]

Yes, x=3tan(u) or x=3tan(theta) does work.

[@sammygold7553]

Where's the link to the partial fraction

[@skwbusaidi]

Trig sub work x =3 tan(t)

[@EE-Spectrum]

Yes, trig sub x=3tan(t) or x=3tan(theta) does work. It's simpler.

[@holyshit922]

u = 3/x then u^2 = u^2+1-1

[@klementhajrullaj1222]

x=tant ect, etc ..