$ x- $ axis and ordinates $ x=1 $ and $ x=4, $ is
A) 64 sq. unit
B) 27 sq. unit
C) $ \frac{127}{4} $ sq. unit
D) $ \frac{255}{4} $ sq. unit
Correct Answer: D
Required area $ =\int_1^{4}{x^{3}dx=[ \frac{x^{4}}{4} ]_1^{4}=\frac{255}{4}} $ sq. unit.
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