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7.2 definite integral — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths7.2 definite integral1 Mark
MCQ
The value of $\int\limits_{ - 1}^1 {\frac{{dx}}{{\sqrt {\,|\,x\,|} }}} \,\,$ is
  • A
    $\,\frac{1}{2}\,$
  • B
    $2$
  • ✓
    $4$
  • D
    undefined
✓

Answer

Correct option: C.
$4$
c
$2\,\int\limits_0^1 {\frac{{dx}}{{\sqrt x }}} $ $=\left[ {\frac{{{x^{ - \frac{1}{2} + 1}}}}{{ - \frac{1}{2} + 1}}} \right]_{\,0}^{\,1}$ $= 4\, \left[ {\sqrt x } \right]_{\,0}^{\,1}$ $= 4$ 

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