Question
Download Solution PDFComprehension
निर्देश : निम्नलिखित प्रश्नों के लिए नीचे दिए गए कथनों पर विचार करें:
माना f(x) = |x2 - x - 2|
\(\rm \int_0^2f(x)dx\) किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
दिया गया है:
f(x) =|x2 - x - 2|.
= {x2 - x - 2; x ∈ (-∞ -1) ∪ (2,∞ ) - (x2 - x - 2); x ∈ [-1, 2]
माना I = - \(\int_0^2(x^2 – x – 2)dx\)
= - \([\frac{x^3}{3}-\frac{x^2}{2} -2x]_2^0\)
= \(- [\frac{8}{3}-\frac{4}{2}+4] +0 =\frac{10}{3}\)
∴ विकल्प (d) सही है
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