the score shared. Be sure to show your work and explain your reasonlng. 1. For each of the following integral. Make a sketch of the region bounded by the given curves. Approximate the area of these regions • using 4 pieces and right endpoints. • using 4 picccs and lcft cndpoints. (a) y = x², x = 2, x = 8, x-axis %3D (b) y = x² – x, x = 1, x = 3, x-axis %3D (с) у — 21 — 1*, х — 0, х — 2, х-ахis 2. Suppose that f is integrable and that -7 f (x)d.r = 5, | f (x)d.r = 3, | f(x) = 2, g(x) = 10. %3D %3D 3. Use the integration rules to find (a) S 3f(x)dxr. (b) -2f(x)dx. (c) S 4f(x)dx. (d) S 4f(x) – 29(x)dx. 1

Q: Find the area bounded by the curve y = x³ and (a) the lines y = 0, x = 2, (b) the lines x = 0, y =…

A:

Q: Find the equation of the vertical line that divides the area of the region R bounded by 1 y = 20x2…

A: Identify the limits of integration from the given region, to calculate the area of the region. Here,…

Q: Find the area of the region enclosed between the curves defined by the equations y = vx +2,y= x ,…

A:

Q: 4. Find the area bounded by the curve ay = x² and the lines y = a and y = 4a.

A:

Q: Find the area of the region bounded by the following pairs of curves. It is necessary to draw the…

A: Consider the given curves y=x3-6x2+8x                             …1y=x2-4x…

Q: 1. y = 2x from x = 0 to 10 6. y = 9x² from x = - 0 to 3

A:

Q: 2. Find the area bounded by the curves y = x² and y = 2 – x2.

A: Area bounded by the curves y=x2 and y=2-x2

Q: -2 1 2 y = 0 4 y = x^3 - 8x^2 6 |▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬| 8 10 12 X

A:

Q: Graph the region between the curves. And Compute the area of the region. (Round your answer to five…

A: