Definite Integration Question 324
Question: The area bounded by the curve $ y={{(x+1)}^{2}},y={{(x-1)}^{2}} $ and the line $ y=\frac{1}{4} $ is
[IIT Screening 2005]
Options:
A) 1/6
B) 2/3
C) 1/4
D) 1/3
Show Answer
Answer:
Correct Answer: D
Solution:
Required area $ . =2| \int _{1/4}^{1}{(\sqrt{y}-1)\ dy} . | $ ,(From the symmetry)
On solving, we get required area $ =\frac{1}{3} $ sq. unit.
BETA
