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

MCQ

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

✓
$125/6$
B
$125/3$
C
$125/2$
D
None of these

✓

Answer

Correct option: A.

$125/6$

a
(a) Solving $y = 0$ and $y = 4 + 3x - {x^2},$

we get $x = - 1,\,4$.

Curve does not intersect $x -$ axis between $x = - 1$ and $x = 4$.

$\therefore$ Area $ = \int_{ - 1}^4 {(4 + 3x - {x^2})dx = \frac{{125}}{6}} $.

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