Question

HALLLLLLLP MEHHHH!!!!!

Answer 1

\[\int\limits \frac{ x^2 }{ x^4-2x^2-8 }dx\]

Answer 2

What's your best attempt? Have you tried partial fractions?

Answer 3

IDK where to begin :'( wahhhhhhhhh

Answer 4

can you show me step by step then I will promise to study it?

Answer 5

http://tutorial.math.lamar.edu/Classes/CalcII/PartialFractions.aspx

I feel like that should be good for studying. I am pretty tired so I can only help you on stuff you've done, I'm not about to figure it out on my own right now but I can definitely follow your steps and tell you if they're logical.

Answer 6

HAHAHA

Answer 7

Factor the denominator first.

Answer 8

is that an x squared on top or x cubed? I can never tell with this font.

Answer 9

but I don't know how to factor !!!

Answer 10

x^2

Answer 11

Dare I say it...

http://lmgtfy.com/?q=how+to+factor

Answer 12

It is just a quadratic equation

Answer 13

IS IT???

Answer 14

so I can use quadratic equation?

Answer 15

Substitute x^2=w or something and the bottom simplifies to a quadratic.

Answer 16

-b sqrt ... blah blah balh?

Answer 17

Treat x^2 as one thing and yes

Answer 18

guide me plezzzzzz I am in tears this is so difficult

Answer 19

What about you try to factor \(\large y^2-2y-8\) first?

Answer 20

how did you turn x into y?

Answer 21

\(\large x^2=y\)

Answer 22

ohhh dang that's interesting

Answer 23

Do you remember the cross method?

Answer 24

what is that?

Answer 25

imma cross everything out?

Answer 26

...

Answer 27

IDK cross method then
the only crosses I get is when I get my papers back ... the crosses are in red and I get an F minus grade

Answer 28

Actually you should know how to factor quadratic polynomials if you're dealing with calculus...

Answer 29

https://www.youtube.com/watch?v=nOZTe8jU2g4

Answer 30

there are lots of people that give out answers so it helped me get into calc

Answer 31

Exactly the problem...

Answer 32

This is a more complete version: https://www.youtube.com/watch?v=eF6zYNzlZKQ

Answer 33

no. the problem is the one I posted

Answer 34

I mean this is exactly your problem

Answer 35

You don't have the foundations well-built

Answer 36

ain't got time watching videos now
I need to be more disciplined and stop watching videos and do homework

Answer 37

Okay so I'll teach you how to factor quadratic expressions

Answer 38

yayyyyyyyyy

Answer 39

Find two numbers that add up to -2 (the middle term) and multiply to form -8 (the last term)

Answer 40

Hint: you can find the factors of -8

Answer 41

where are they?

Answer 42

The factors of -8 include: -8, -4, -2, -1, 1, 2, 4, 8

Answer 43

Find those that add up to -2

Answer 44

Hmm...This one is tricky. I'm leaning toward completing the square and some kind of u or trig substitution. Have you tried anything yet?



So here we see there is nowhere else to go. We can use partial fraction decomposition to break up the integral into a sum of fractions.
Have you heard of partial fraction decomposition?