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.