Question
Download Solution PDFThe area under the curve y = x2 between the lines x = 2 and x = 3 is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The curve y = x2 between the lines x = 2 and x = 3
Concept:
Use concept of area of the curve \(\rm y=f(x)\) between the lines x=a and x=b
\(\rm A=\int_{a}^{b}f(x)\ dx\)
Calculation:
The area under the curve y = x2 between the lines x = 2 and x = 3 is
\(\rm A=\int_2^3\ x^2\ dx\)
\(\rm =[{\frac{x^3}{3}}]_2^3\)
\(\rm =\frac{27}{3}-\frac{8}{3}\)
\(\rm =\frac{19}{3}\)
Hence the option (3) is correct.
Last updated on May 26, 2025
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