1. Decide whether to integrate with respect to x or y. Then find the area of the

Question

1. Decide whether to integrate with respect to x or y. Then find the area of the region. y=2+sqrt(x),y=2+1/5(x)

2. x=8y^2 and x+y=7. Decide whether to integrate with respect to x or y. Then find the area of the region

3. x+y^2=56 and x=y. Decide whether to integrate with respect to x or y. Then find the area of the region.

4. y=5/x, y=8x, and y=1/8x. Decide whether to integrate with respect to x or y. Then find the area of the region.

5. Find the area of the region enclosed between y=4sin(x) and y=2cos(x) from x=0 to x=0.3pi. Hint: Notice that this region consists of two parts.

6. Find c>0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 330

7. Find the area of the region bounded by the parabola y=4x^2, the tangent line to this parabola at (2,16) and the x axis.

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