Integral of x^2/(x^2+1)

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This calculus video tutorial explains how to find the integral of x^2/(x^2+1) using integration by trigonometric substitution and algebraic techniques.

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Honestly, Thank you sooo much for these videos. Even though some of them may not be getting much attention, but I absolutely love this channel when I can just surf through everything when I need help with Chemistry or Math.

TasteTheSno

Omg, I have had a headache about this... Thank you sooo much💜

VigyatBorayara

BROOO, I stayed up late yesterday and spent like 3 hours trying to figure out a similar problem to this, to end up watching this and figuring it out at 6:36am at Landry mat on my phone…..

julianfrancojr

Thank you for the clear explanation, this helped me solve part of a harder integral.

danilio

in what universe would i ever think to make x^2 = x^2 -1 +1.

jasonmartin

Integration of 1/(x^2+a^2) is the identity where a is 1

payeldutta

Thanks man....I didn't have your imagination....cool!!

antoniocampos

The explanation is fucking perfect, 💕💕

That last breakdown of 1/x²+1

Ashishknows

Brother i think u made a mistake cause 1/x²+1 is simply= 1/2 loge[x-1/x+1] according to 12th formulas so the answer would be x-1/2Loge[x-1/x+1] .

rehanrockstar

Hi I'm hungry its late night here watching YouTube videos

ssjn

Cant you just use the product of x^2 and knowledge that 1/(1+x^2) is the derivative of tanx?

six

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