make a rough sketch of the graph of the region given below and find its area using methods of integration: {x,y: 0≦ x^2+3, 0≦y≦2x+3, 0≦x≦3}​. 

please explain this question and tell me.. how do we know where to shade i.e..above or below the parabola??   

Here is the solution of your question. We will put 0 0 in the equation of parabola and if it is true then region is towards origin and if it is false then area we have to say it is in opposite side

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