Now i'm trying to get my head around this question. I just know they're going to give us a large degree question like this in the exam... Let's say: I = ∫[e^(x^2)]dx with nodes being x=0 to x=0.5 The 5th degree polynomial is 1 + x^2 + (1/2)(x^4) So my queries are: How would I go about finding the upper bound on the error from 0 to 0.5? - My working gives 0.012 How do I get an approximation of I by integrating? - my working gives 0.545 How would I get an upper bound on the integration in the previous question? Thanks a lot guys and girls.