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Find the area of the region bounded by the parabola y=x 2 and the line x=4y-2 ; explain briefly .

Find the area of the region bounded by the parabola  y=x2 and the line x=4y-2 ; explain briefly .

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1 Answers

Sarbajit Mazumdar
15 Points
5 years ago
first solve two equations to get $x=\frac{1}{2},-\frac{1}{4}$ these are mainly cot points of two curves 
now simply find the area as $A=\int{-\frac{1}{4}}{\frac{1}{2}}(\frac{x+2}{4}-x^{2})dx$ to get the answer. 

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