# Find the MacLaurin polynomial of degree 5 for F(x).

• May 18th 2010, 11:12 PM
ewkimchi
Find the MacLaurin polynomial of degree 5 for F(x).
• May 19th 2010, 12:01 AM
Bop
Hello, just solve the integral and apply MacLaurin series. And in order to calculate the define integral just replace the values.
• May 19th 2010, 04:25 AM
HallsofIvy
Don't solve the integral (it cannot be done in terms of elementary functions, anyway)! You only need the value of F at x= 0 which is obviously 0 because $\int_0^0 f(x)dx= 0$ for any f.

Then use the Fundamental Theorem of Calculus to find F'(x) and differentiate that to get F", F''', F'''', and F'''''.
• May 19th 2010, 12:20 PM
Bop
I hadn't seen it was function of $x$, my mistake.