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Question: Answered & Verified by Expert
$\int_{-4}^4|x+2| d x=$
MathematicsDefinite IntegrationJEE Main
Options:
  • A 50
  • B 24
  • C 20
  • D None of these
Solution:
1253 Upvotes Verified Answer
The correct answer is: 20
$\begin{aligned} \int_{-4}^4|x+2| d x=\int_{-4}^2-(x+2) d x & +\int_{-2}^4(x+2) d x \\ & =\left|\frac{-x^2}{2}-2 x\right|_{-4}^{-2}+\left|\frac{x^2}{2}+2 x\right|_{-2}^4=20\end{aligned}$

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