Calculus Help

MrCodeDude

Lifer
Jun 23, 2001
13,674
1
76
Tomorrow is a test for Calc and usually my teacher holds these "study sessions" where we go in the evening to his class and we just do a bunch of problems to help us study. Tonight he couldn't do it, but we're still having a test. :( Anyway, I have a bunch of even problems assigned and there are only odd answers in the back of the book. Anyway, ATOT has bailed me out in the past, I figured it's worth it to ask again ;)

Find the area between the two intersecting lines.

FIRST PROBLEM
x = y^2 + 1, x = y+3

I solved for y for both equations and got:

y = sqrt[x-1] , y = x-3

Setting both equations equal to each other, you find out that they intersect at x = 2 and 5.

Integral from 2 to 5 of [ sqrt[x-1] - (x-3) ]

Is that the correct integral? Cause if you graph both equations, you need the negative sqrt[x-1].

 

Capone

Senior member
Jan 28, 2004
371
0
0
first equation should be sqrt[x-1]

edit nm you wrote it right in the integral
 

Capone

Senior member
Jan 28, 2004
371
0
0
Had to get out my calculator, yeah you do need the - sqrt too
because it should be y = + or - sqrt[x-1]

edit: post above was my next step