A) 64 sq. unit
B) 27 sq. unit
C) \[\frac{127}{4}\]sq. unit
D) \[\frac{255}{4}\]sq. unit
Correct Answer: D
Solution :
Required area \[=\int_{1}^{4}{{{x}^{3}}dx=\left[ \frac{{{x}^{4}}}{4} \right]_{1}^{4}=\frac{255}{4}}\] sq. unit.
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