6.1.12 Sketch the region. Decide whether to integrate with respect to x or y. 4x + y^2 = 12, y = x

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Find the area between two curves with respect to y (area between 4x+y^2=12 and x=y) Find the area between two curves with respect to y (area between 4x+y^2=12 and x=y)
4x + y^2 = 12, x=y 4x + y^2 = 12, x=y
6.1.11Sketch the region.Decide whether to integrate with respect to x or y. x = 1 - y^2 x = y^2 -1 6.1.11Sketch the region.Decide whether to integrate with respect to x or y. x = 1 - y^2 x = y^2 -1
6.1.9 Sketch the region. Decide whether to integrate with respect to x or y. y = 1/x^2, y = 1/x, x=2 6.1.9 Sketch the region. Decide whether to integrate with respect to x or y. y = 1/x^2, y = 1/x, x=2
6.1.7 Sketch the region. Decide whether to integrate with respect to x or y. y = (x - 2)^2, y = x 6.1.7 Sketch the region. Decide whether to integrate with respect to x or y. y = (x - 2)^2, y = x
6.1.8 Sketch the region. Decide whether to integrate with respect to x or y. y = x^2 - 2x, y = x + 4 6.1.8 Sketch the region. Decide whether to integrate with respect to x or y. y = x^2 - 2x, y = x + 4
Integrate Y With Respect to X Integrate Y With Respect to X
Should I integrate in terms of x or y? Should I integrate in terms of x or y?