-2x The double integral over the non-rectangular region I = S ev-*dydx is equal to: %3D а. 2 b. е — 2 с. е2 —е d. None of the above

Q: Determine the value of the iterated integral I = (3+2xy) dx dy . 0, 1. I = 58 2. I = 56 3. I = 62 4.…

A: We will solve it in two steps one by one.

Q: Verify if div(curl F) = o for = (x - y) i+ (x +y)j+zk.

A:

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

A:

Q: If AB = BC CD what is the area of the green region? 91 C -9-

A:

Q: Calculate the area of the shaded part y = x + 3 and y = x³ – 3x + 3. y3x+3 Area 1 Area 2 (2, 5) + y…

A:

Q: Find the area generated by the graphs y=x4-2x2 and y=2x2

A:

Q: y 1 - y = sin x 0.5 9. T/4 Зп /4 57/4 -0.5 y = cos X -1

A:

Q: Find the area under the curve 2x+3y-6%3D0 from x+63D0 to x-19%3D0

A:

Q: Find the integral 17T dx 2+18 1 는시17x + 18+c 17 1 18x - 18 +c b.

A: Solve by substitution integration method

Q: 2. * S arctan x dx 1 In(x²) + C C 1. x arctan x C A x arctan x -In(x² + 1) + C -- B 1 D x arctan x…

A: Solve the given integration

Q: y = x2 − 2x,  y = 4x + 7 find area of region

A: y=x2-2x......(1)y=4x+7......(2) Solve the above equation, 4x+7=x2-2xx2-6x-7=0x=-1,7

Q: 8. Evaluate the integral 4 + 6x dx Vx

A: In this question we have to solve the integration given. we can write , x=(x)12

Q: S sin-1 x dx A C V1- x2 + C + /1- x2 + C sin x sin x 1 V1 – x² + C D V1- x² + sin x sin x B D E None…

A: To evaluate the given integral.

Q: Use a change of variables to find the area of the curved rectangle above the x-axis bounded by…

A: Given,Area bounded by:y24-1≤x≤4-y216 , y264-16≤x≤9-y236 , x≥0

Q: 1. Find the area between y = - x² + 4x and y = x² - 6x + 5. Graph and shade the area required.

A: