Quackulus Question

sum of squares 1..n = n(n+1)(2n+1)/2
sum of squares 1..10 = 385

integral of n^2 = (n^3)/3
intergral from 1 to 10 = 1000/3 - 1/3 = 333

shouldn't the integral give the sum or something?

>>4

What you meant to say is 4, dumbass.  The area of any of the finite regions described and bounded by sin(x) and the x-axis is two.  2+2=4; in other words, the absolute value of the integral from 0 to π of sin(x), plus the absolute value of the integral from π to 2π of sin(x), is four.