Question
Download Solution PDFरेखाओं x = 2 और x = 3 के बीच वक्र y = x2 के नीचे का क्षेत्रफल है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
रेखाओं x = 2 और x = 3 के बीच वक्र y = x2 है।
अवधारणा:
रेखाओं x = a और x = b के बीच वक्र \(\rm y=f(x)\) क्षेत्रफल की अवधारणा का उपयोग करें,
\(\rm A=\int_{a}^{b}f(x)\ dx\)
गणना:
रेखाओं x = 2 और x = 3 के बीच वक्र y = x2 के नीचे का क्षेत्रफल है,
\(\rm A=\int_2^3\ x^2\ dx\)
\(\rm =[{\frac{x^3}{3}}]_2^3\)
\(\rm =\frac{27}{3}-\frac{8}{3}\)
\(\rm =\frac{19}{3}\)
अतः विकल्प (3) सही है।
Last updated on May 26, 2025
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