Definite Integration Question 368
Question: Area bounded by the parabola $ y^{2}=2x $ and the ordinates $ x=1,x=4 $ is
Options:
A) $ \frac{4\sqrt{2}}{3}sq.unit $
B) $ \frac{28\sqrt{2}}{3}sq.unit $
C) $ \frac{56}{3}sq. unit $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Required area = $ CDD’C’=2\times ABCD $
$ =2\int_1^{4}{\sqrt{2}}{x^{1/2}}dx=\frac{28\sqrt{2}}{3} $ sq. unit.