I was tutoring my brother for calculus 2 the other day on the trapezoidal rule for area approximation, the following function:√(x2+1) when I noticed he was making a consistent horrible mistake... He kept pulling out the +1 out of the square root to try to simplify this. So he claimed, √(1 +1)= √1+√1= 1+1 = 2. An obvious problem with this is the claim... read more