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Area between Two Curves

The area of t...

Question

The area of the square is $(4 x^{2} - 2 x - 6)$ square units. A triangle inside the square has an area $(x^{2} - 4 x + 5)$ square units. Find the area of the shaded portion.

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Solution

$a r e a o f s h a d e d p o r t i o n = (4 x^{2} - 2 x - 6) - (x^{2} - 4 x + 5) = 3 x^{2} + 2 x - 11$

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