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Definite Integration — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDefinite Integration2 Marks
MCQ
$\int_{-5}^5|x+2|$ dx is equal to
  • ✓
    29
  • B
    28
  • C
    27
  • D
    30
✓

Answer

Correct option: A.
29
(A)
Here, $a =5$ and $b =2$
$\begin{aligned} \int_{- a }^{ a }|x \pm b | d x & = a ^2+ b ^2, \text { when } b \leq| a | \\ & =2 ab , \quad \text { when } b >| a |\end{aligned}$
$\int_{-5}^5|x+2| d x=5^2+2^2=29$

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