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Find the area between F(x) = x^2-5 and the x-axis from x=0 and x=9
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- Estimate the area under the graph of f(x)=16-x^2 over the interval [-3,2] using four approximating rectangle and right endpoint. Repeat the approximation using left enpointsFind the "area under curve" of −x2+10x-x2+10x between x=3x=3 and x=5Find the indefinite intergral of: Integral cube root of x^2 - (1/x^2) dx
- Find the area of a triangle bounded by lines y=2x and x=1 by double integrationEstimate the area under the graph of f(x)=x^2+2x from x=2 to x=10 using 4 approximating rectangles and left endpoints Approximation=Estimate the area under the graph f(x) = x2 between x = 0 and x = 2 using left sum with two rectangles of equal width.
- Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8 approximating rectangles and right endpoints.Estimate the area under the graph of f(x)= (x^2) + 2x from x = 4 to x=8 using 4 approximating rectangles and left endpoints. Approximation =The graphs of y = 1 − x2 and y = x4 − 2x2 + 1 intersect at three points. However, the area between the curves can be found by a single integral. Explain why this is so, and write an integral that represents this area.