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Solve for x: S(0 to x) (t^3-2t+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 - ,

    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 - ,

    I am not familar with that method. What is it that I do?

  • calculus - ,

    explains the method

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