$\displaystyle\int_2^3 x^2\,dx$ equals
A$\dfrac{19}{3}$
B$\dfrac{35}{3}$
C$\dfrac{19}{2}$
D$19$
Answer & Solution
Correct answer: A. $\dfrac{19}{3}$
1. Antiderivative: $\int x^2\,dx=\dfrac{x^3}{3}$.
2. Evaluate at limits: $\dfrac{27}{3}-\dfrac{8}{3}$.
3. $=\dfrac{19}{3}$.
_Source: NCERT Class 12 Mathematics Ch 7 "Integrals", p.335_
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