Question: The area between the curve $y = 4 + 3 x - x ^ { 2 }$ and x-axis is...

Question

The area between the curve $y = 4 + 3 x - x ^ { 2 }$ and x-axis is

Answer 1

Solving $y = 0$ and $y = 4 + 3 x - x ^ { 2 }$ we get $x = - 1,4$ . Curve does not intersect x-axis between $x = - 1$ and $x = 4$ .

∴ Area $= \int _ { - 1 } ^ { 4 } \left( 4 + 3 x - x ^ { 2 } \right) d x = \frac { 125 } { 6 }$

Question: The area between the curve \(y = 4 + 3 x - x ^ { 2 }\) and x-axis is...