Definite Integration Question 399
Question: The area bounded by the curve $ y=x^{3}, $
$ x- $ axis and two ordinates $ x=1 $ to $ x=2 $ equal to
[MP PET 1999]
Options:
A) $ \frac{15}{2} $ sq. unit
B) $ \frac{15}{4} $ sq. unit
C) $ \frac{17}{2} $ sq. unit
D) $ \frac{17}{4} $ sq. unit
Show Answer
Answer:
Correct Answer: B
Solution:
Shaded area $ =\int_1^{2}{ydx} $
$ =\int_1^{2}{x^{3}.dx=\frac{1}{4}[x^{4}]_1^{2}} $
$ A=\frac{1}{4}[16-1]=\frac{15}{4} $ sq. unit.
BETA
