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JEE PYQ: Area Under Curves Question 16

Question 16 - 2020 (06 Sep Shift 2)

The area (in sq. units) of the region enclosed by the curves $y = x^2 - 1$ and $y = 1 - x^2$ is equal to:

(1) $\frac{4}{3}$

(2) $\frac{8}{3}$

(3) $\frac{7}{2}$

(4) $\frac{16}{3}$

Show Answer

Answer: (2) $\frac{8}{3}$

Solution

Area $= 4\int_0^1 (1-x^2),dx = \frac{8}{3}$.


Learning Progress: Step 16 of 34 in this series