Calculus: Integrals 6

Still more about integration by substitution.

• Category

  Education

[Ritzoid]

Integral calculus is so much fun.

[cocoabean]

Yea this guy rules.

[spaces716]

if you use u= 1+X^2, then du/dx = 2xdx

Since the problem has "x^2" in the numerator, it will be impossible to cancel out an "x" using the given du/dx since you cannot bring variables outside the integral. (only constants may move outside the integral)

He goes over it quickly around 4:00

[Karl Stencell]

Review of polynomial long division. Bonus!

[muelitassasg]

I dont understand in the first explample how is that equals to tan^-1x :s

[michaelt523]

....just in case you were still wondering....

[michaelt523]

There is no possible substitution. So all he did was rewrite it algebraically by expressing x^2/(1+x^2) in a different form.

[shirleybreeze]

this is awesome

[vhdesouza]

i dont get the trick in the last integral too

[rifla sousa]

THANKS OLD MAN..THANKS MATH TV

[blackdefender]

Can someone help me. I got this question which I can't solve (I'm not really good at this). Anyway, I have here: {(X+6) / (X+2)^2} dx and I have to find the integral of it...well our teacher said it's quite challenging and it really is...can someone care to help?

[ajordanb13]

@arod889 he said it cant be done if youre talking about the last one