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1 ∫ − 1 | 1 − X | D X is Equal to (A) −2 (B) 2 (C) 0 (D) 4

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प्रश्न

\[\int\limits_{- 1}^1 \left| 1 - x \right| dx\]  is equal to

विकल्प

  • −2

  • 2

  • 0

  • 4

MCQ
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उत्तर

 2

 

\[\int_{- 1}^1 \left| 1 - x \right| d x\]
\[ = \int_{- 1}^0 \left( 1 - x \right) dx + \int_0^1 \left( 1 - x \right) dx\]
\[ = \left[ x - \frac{x^2}{2} \right]_{- 1}^0 + \left[ x - \frac{x^2}{2} \right]_0^1 \]
\[ = 0 + 1 + \frac{1}{2} + 1 - \frac{1}{2} - 0\]
\[ = 2\]

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 19: Definite Integrals - MCQ [पृष्ठ ११९]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 19 Definite Integrals
MCQ | Q 25 | पृष्ठ ११९

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