Find the Total Area of the Region Between the Curve $$y = 2 x - x ^ { 2 } ; 0 \leq x \leq 2$$

question 68

Multiple Choice

Find the total area of the region between the curve and the x-axis.
- $$y = 2 x - x ^ { 2 } ; 0 \leq x \leq 2$$

• A) \(\frac { 4 } { 3 }\)
• B) \(\frac { 7 } { 3 }\)
• C) \(\frac { 2 } { 3 }\)
• D) \(\frac { 5 } { 3 }\)

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