Comprehension

निर्देश : निम्नलिखित प्रश्नों के लिए नीचे दिए गए कथनों पर विचार करें:

माना f(x) = |x2 - x - 2|

13f(x)dx किसके बराबर है?

This question was previously asked in
NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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Answer (Detailed Solution Below)

Option 2 : 3
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व्याख्या:

दिया गया है:

f(x) =|x2 - x - 2|

= {x2- x - 2; x ∈ (-∞, -1) ∪ (2, ∞)

- (x2 -x -2 ; x ∈[ -1,2]

माना I = 13f(x)dx

= 12(x2x2)dx+23(x2x2)dx

= [x33x222x]12+[x33x222x]23

= [83424][[13122]+[273926][83424]

= 20613696+206 = 3

इसलिए, विकल्प (b) सही है।

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