Sketch the entire region bounded between the curves, x=y^2 and y^2 =x-4. Determine their intersection points and then calculate the area of the region

Q: Find the area between two curves: y=2x-x^2+3 y=x^2-4x+3 Show steps of calculation.

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Q: find the area of the region bounded by the parabola x=y^2+2 and the line y=x-8

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Q: Find the area bounded by the curve y^2+x-4y=5 and the y-axis.

A: The figure is given below

Q: Use 8 rectangles to find the area of the curve for the equation y = -x^2 + 9 on [-3, 3].

A: area=∫abf(x)dx≈∆xf(x0)+f(x1)+...............+f(xn-2)+f(xn-1)                      where, ∆x=b-an