Recent content by Wee Sleeket

I was wondering how to approximate definite integrals to within a specific accuracy. For example, how would I go about approximating the integral from 0 to 1 of sin(x^3) dx to within an accuracy of 0.001? I think I'm supposed to use the remainder estimate for the integral test, but I'm confused...

I'm a freshman in college majoring in computer science.. but I'm thinking about changing my major to Engineering Physics. It's bascially Physics, but requires you to do one of a few things, such as minoring in computer science. One of the reasons I'd switch my major is because I've heard the job...

I think I'm ok with finding the terms of the series... I just don't know how to notate the final answer. How would you write the final Taylor series for each one?

I am having difficulty understanding Taylor and MacLaurin series. I need someone to go through step by step and explain a problem from beginning to end. You could use the function f(x) = cos x. Also, could someone find the MacLaurin series of 1/(x^2 + 4) ? I just don't understand the basics of...