SOLUTION: find the area under the curve if y=5-x^2

Question 412124: find the area under the curve if y=5-x^2
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!

I'm assuming you want to find the area bounded by the curve and the x-axis...if this is the case, it is simply given by the definite integral

(note that these are the points where the curve meets the x-axis). By the power rule and the First Fundamental Theorem of Calculus, this is equal to evaluated at , minus that expression evaluated at (Look up "First Fundamental Theorem of Calculus" if you're unsure).
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