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 xaxis?
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

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 yaxis.
That leaves only one choice.
what do you have against actual math notation? 1x^2. Use symbols instead of words where you can. Makes things a lot less noisy.posted by Steve
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