The area of the region A = [(x, y): 0 ≤ y ≤ x|x|+1 and -1 ≤ x ≤ 1] in sq. units is :

Question

The area of the region A = [(x, y): 0 ≤ y ≤ x|x|+1 and -1 ≤ x ≤ 1] in sq. units is : (A) (2/3) (B) (1/3) (C) 2 (D) (4/3)

Tardigrade Admin · Accepted Answer

The graph is a follows ∫0-1 (-x2 +1)dx + ∫10 (x2 +1)dx = 2

Q. The area of the region
$A = [(x, y) : 0 \leq y \leq x ∣ x ∣ + 1$ and $- 1 \leq x \leq 1]$ in sq. units is :