Definite Integration Question 434
Question: The area bounded by the parabola $ y^{2}=4ax, $ its axis and two ordinates $ x=4, $
$ x=9 $ is
Options:
A) $ 4a^{2} $
B) $ 4a^{2}.4 $
C) $ 4a^{2}(9-4) $
D) $ \frac{152\sqrt{a}}{3} $
Show Answer
Answer:
Correct Answer: D
Solution:
Shaded area $ A=2\int_4^{9}{\sqrt{4ax}dx} $
$ A=4\sqrt{a}\times \frac{2}{3}[{x^{3/2}}]_4^{9}=\frac{152\sqrt{a}}{3} $ .
BETA
