The area of the region given by A = ( x , y ): x 2 ≤ y ≤ min x +2,4-3 x is :

Question

The area of the region given by A = ( x , y ): x 2 ≤ y ≤ min x +2,4-3 x is : (A) (31/8) (B) (17/6) (C) (19/6) (D) (27/8)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/5792830e631c4563fdbca87c219162cf-.png" /> A=∫ limits-1(1/2)(x+2-x2) d x+∫ limits(1/2)1(4-3 x-x2) d x=(17/6)

Q. The area of the region given by $A = {(x, y) : x^{2} \leq y \leq min {x + 2, 4 - 3 x}}$ is :

$\frac{31}{8}$

$\frac{17}{6}$

$\frac{19}{6}$

$\frac{27}{8}$

$A = - 1 \int \frac{1}{2} (x + 2 - x^{2}) d x + \frac{1}{2} \int 1 (4 - 3 x - x^{2}) d x = \frac{17}{6}$

Q. The area of the region given by A={(x,y):x2≤y≤min{x+2,4−3x}} is :

831​

617​

619​

827​