VTU Engineering Maths 1 Changing the order of integration good example(PART-1)

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Evaluate the double integral (x + 2y) dA where D is region bounded by parabolas y=2x^2 and y=1+x^2

Q99 (2x+2y+3) dy - (x+y+1) dx = 0

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Q96 (2x+4y+3)(dy/dx) = 2y+x+1

x + y + z = 1, 2x + 2y + 3z = 6, x + 4y + 9z = 3: Matrix InversionMethod @EAG

Q242 Solve x(1-x^2)dy + (2x^2y - y - ax^3)dx = 0

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`(2x -2y+3) dx -(x-y+1) dy=0 , " when" x=0, y=1 `

Evaluation of Surface Integral in a plane 2x+y+2z=6 in the first octant