Posted by Anonymous on Friday, October 26, 2007 at 12:07am.
Solve for x: S(0 to x) (t^32t+3)dt=4
I got a different answer from the back of the book. The back of the book said that x=1.63052 or x=3.09131. How am I suppose to solve this using a calculator?

calculus  Reiny, Friday, October 26, 2007 at 12:28am
I integrated, substituted the x, and simplified to get the following equation
x^4  4x^2 + 12x  4 = 0
I then used Newton's Method and after 5 iterations I get x= 1.63052
So it appears the book is right. 
calculus  Anonymous, Friday, October 26, 2007 at 12:41am
I am not familar with that method. What is it that I do?

calculus  drwls, Friday, October 26, 2007 at 8:13am
http://library.thinkquest.org/C006002/Pages/Newtons_Method_for_Solving_Equations.htm
explains the method