Quick calc question

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?

the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x square, dx
the integral from 0 to 1 of the quantity 1 minus x squared, dx minus the integral from 1 to 2 of the quantity 1 minus x square, dx
the integral from 0 to 2 of the quantity 1 minus x squared, dx
2 times the integral from 0 to 1 of the quantity 1 minus x squared, dx

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  1. you know the limits of integration are [-1,1]

    None of the choices uses that, but you also know the region is symmetric about the y-axis.

    That leaves only one choice.

    what do you have against actual math notation? 1-x^2. Use symbols instead of words where you can. Makes things a lot less noisy.

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  2. What is the answer to the problem

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