Let a and b be positive numbers. Find the area of the bounded region in R? enclosed by the curve with equation 6?q² + a²y² = b*a² using a double integral and a change of variables in double integration.

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Q: Determine the area between the graphs of the equations y=x and y=(x)^2-1. Integrate over the x-axis…

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Q: Find the area bounded by the curves -x + y² = 8, x = -2y and y = -2.

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Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.

A: so we have and the other function is

Q: ter performing the calculations, swap the order of integration and count the integral again.

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Q: Find the area bounded by the curve y? 4x and the lines x=1 and x=4.

A: Area bounded by a curve y=f(x) and the lines x=a and x=b is given by, A=∫abf(x)dx  We know, ∫xndx=…