# Question relating to binomial expansion and integration

• Jan 20th 2011, 07:49 AM
angypangy
Question relating to binomial expansion and integration
Hi All

I am working on a question where I am given (1 + x^2)^5 and asked to expand out (using binomial expansion). I have no problem with that.

Then I am asked to integrate the equation for values 0 -> 0.4. No problem there.

But then it asks how the estimation of the area using the binomial expansion compares with the integration result? What is that about?

Angus
• Jan 20th 2011, 08:41 AM
Quacky
Integration tells you the area under a curve. How similar are your results? Substitute in those limits - the results should be very similar.
• Jan 20th 2011, 08:48 AM
angypangy
I am ok with the integration, it is the binomial expansion bit I am stuck on. Do you mean I substitute 0.4 for x and then do binomial expansion?
• Jan 20th 2011, 09:02 AM
Quacky
Try it and see. Are they similar? Substitute x = 0.4 into the expansion you did at the beginning.