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Question: Answered & Verified by Expert
Area of the region bounded by the curve $y=2-x-3 x^2$, the $\mathrm{X}$-axis, the $\mathrm{Y}$-axis and the line $\mathrm{x}=-2$ is
MathematicsArea Under CurvesTS EAMCETTS EAMCET 2023 (13 May Shift 1)
Options:
  • A $2$
  • B $\frac{44}{27}$
  • C $\frac{9}{2}$
  • D No area bounded
Solution:
1660 Upvotes Verified Answer
The correct answer is: No area bounded
$\begin{aligned} & y=-\left(3 x^2+x-2\right) \\ = & -\left[3 x^2+3 x-2 x-2\right] \\ = & -(x+1)(3 x-2)\end{aligned}$


No area bounded

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