Definite Integration Question 173

Question: The area enclosed by the curve $ x^{2}y=36, $ the x-axis and the lines x = 6 and x = 9 is

Options:

A) 6

B) 1

C) 4

D) 2

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ y=\frac{36}{x^{2}},x=6,x=9 $ Desired area $ =\int\limits_6^{9}{\frac{36}{x^{2}}dx} $

$ =-36[ \frac{1}{9}-\frac{1}{6} ]=2 $