Calculus II (Part 1) Integrating with Special Substitutions

Calculus II - Integrating with Special Substitutions; Rational functions with sine and cosines: Karl Weistrass method

Category:

Education

Tags:

• MuchoMath
• Calculus
• Integrating

[ayershov777]

HEY!

[MuchoMath]

@ayershov777 Try my faculty website for more Calculus stuff. use the URL link in my profile!

[smokenbiskits]

Loved it, wish there were more :D

[MuchoMath]

@smokenbiskits I've still a lot more work to do.

[xxcowslayerxxx]

does u= tan(x/2) for only this problem or for all problems similar to this one like 1 over some number of sinx - some number of cosx?

[MuchoMath]

This works for any rational function similar to this involving any of the six trig functions. Try integrating 1 / (sinx + tanx) dx. You should get Int(1-u^2) / 2u du = 1/2 ln|tan(x/2)| - 1/4 ln|tan^2(x/2)| +C . Next try integrating 1 / (1+sinx+cosx) dx Here you should get Int1/(u+1) du = ln|tan(x/2)| + 1| + C . Hope this helps! MuchoMath

[kingjoker54]

This is great its so funny,how that guy always reacts.

[ArtClash]

This is funny; but, this is a terrible way to help beginners. XD

[luis12181]

Great Job Professor Pérez. Me gustó mucho su explicación. Me gustaría que fuera un poco más lento, pero como quiera es muy bueno.

Gracias,

Luis

[kai2698]

compare to calc 2, calc 1 is easy

[Insanox2]

you should teach at IVC

[BorealNeal]

i dont want to take calc next semester i thought trig was hard this sucks

[primagen62]

could you also do denominator decomposition?

[HaydenDPresley]

Lol I like math enough that even though I barely understand it I liek listen to it. Make sense? Didn't think so.