Which one of the following integrals represents the area of the region enclosed by the two curves y = 4x² and y = 8x? (8x – 4x2) dx | (4x? – 8x) dx - O None of these | (8x – 4x²)² dx - (4x² — 8х) dx -

Q: +1 dx. (x+3:2-5)3

A: To evaluate  ∫x2+1x3+3x-53dx

Q: Find the area of the region between the curves y=x²-1 and y=-6x²- +6 from x= -1 to x = 1. The area…

A: Area between two curves y=f(x) and y=g(x) from a to b is A=∫abfx-gxdx where fx≥gx ona,b We are given…

Q: Find the area between the graph of y = x - 6x + 8 and the x-axis from x = 1 to x = 3.

A:

Q: 8 Find the area bounded by y = x² the x-axis and the lines x = 2 and x = 3. %3D %3D

A:

Q: Find the area under the graph of y = 2x² - 2x + 4 on the interval [-2,0].

A: y=2x2−2x+4 on the interval [−2,0]

Q: Solve the area bounded by the parabola y2=4x and the line y=2x-4 in two ways. Graph it

A: We are given the parabola y2=4x and the line y=2x-4 .

Q: y = 1/x2, y=9, x=6 Find the area of the region?

A: