Definite Integration Question 133
Question: What is the area of the parabola $ x^{2}=y $ bounded by the line y = 1-
Options:
A) $ \frac{1}{3} $ square unit
B) $ \frac{2}{3} $ square unit
C) $ \frac{4}{3} $ square units
D) 2 square units
Show Answer
Answer:
Correct Answer: C
Solution:
Area of $ ABCD=2\times 1=2 $ sq. units Area of $ BAODC=\int _{-1}^{1}{x^{2}}dx=. \frac{x^{3}}{3} | _{-1}^{1}=\frac{2}{3} $ sq. units Required area $ =2-\frac{2}{3}=\frac{4}{3} $ sq. units
BETA
