Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 - x2 and the x-axis?

Question

A)

B)

C)

D)

Answer 1

first find where the graph=0:

0=1-x², x²=1, x=±1

Now we know the graph is symmetrical centered at x=0 so the integral from -1 to 0 is the same as from 0 to 1. So the only answer can be D