1. Find the area between the curves on the given interval. y= cosx, y=x^2+2, 0<o

Question

1. Find the area between the curves on the given interval.

y= cosx, y=x^2+2, 0<or=x<=2

2. Find the area of the region determined by the intersections of the curves.

y=x^2-1, y=1/2x^2

3. Sketch and find the area of the region determined by the intersections of the curves.

y= sqrt x, y= x^2

4. Sketch and find the area of the region determined by the intersections of the curves.

y=2/(x^2+1), y= abs(x)

5. Estimate the area determined by the intersection of the curves.

y = cos x, y = x^4

6. Estimate the area determined by the intersection of the curves.

y=lnx, y=x^2-2

7. find the area of the region bounded by the given curves. Choose the variable of integration so that the area is written as a single integral. Verify your answer with a basic geometric area formula.

y=x, y=2, y=6-x, y=0

8. find the area of the region bounded by the given curves. Choose the variable of integration so that the area is written as a single integral.

x=3y, x=2+y^2

Your help will be highly appreciated.

Explanation / Answer

y= cosx, y=x^2+2, 0

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