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Question: Answered & Verified by Expert
Area under the curve $y=x^2-4 x$ within the $x$-axis and the line $x=2$, is
MathematicsArea Under CurvesJEE Main
Options:
  • A $\frac{16}{3}$ sq.unit
  • B $-\frac{16}{3}$ sq.unit
  • C $\frac{4}{7}$ sq.unit
  • D Cannot be calculated
Solution:
2473 Upvotes Verified Answer
The correct answer is: $\frac{16}{3}$ sq.unit
$\int_0^2\left(x^2-4 x\right) d x=\left[\frac{x^3}{3}-\frac{4 x^2}{2}\right]_0^2=\frac{16}{3} s q .$unit.

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