Question

find the area bounded by the curves

Answer 1

\[y=x \sqrt{x^2+1}, y = x^4-x\]

Answer 2

first, is there a better method than using the Newton's to get better intersections of the two curves?

Answer 3

for this question to come up in a test with very little time, it's pretty hairy expensive and taxing.

Answer 4

what do you think @ganeshie8

Answer 5

this should not be given in exam @eliassaab

Answer 6

oh but it does give good practice wid newton method i hope :)
i dont have any other better methods right now... other than solving that point and setting up the integral hmm

Answer 7

LAUGHING MY ARSE OFF I was afraid you would say that

Answer 8

http://www.wolframalpha.com/input/?i=area+bounded+by++y%3Dx+%5Csqrt%7Bx%5E2%2B1%7D%2C+y+%3D+x%5E4-x

Answer 9

that's a neat command without using integrals

Answer 10

wolfram also approximated it first ! i think we cannot avoid solving the intersection

Answer 11

@eliassaab
just wondering... can we try jacobian and change coordinate axes ?
never thought of it before for single integrals.... hmm idk..

lets wait for eliassaab to get online :)

Answer 12

ya

Answer 13

thanks

Answer 14

?

Answer 15

you have no idea what kind of murderous acts my professor has been committing during exams LOL and she claims that her exams are the same as the reviews with a few changes... that few means this example I have.

Answer 16

I feel like my metabolic rate increases drastically during exam that after the exam I am drained, drought and emaciated.