If the area of the region is A, then 3A is equal to __________. [2025]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
If the area of the region ${(x, y) : | x - 5 | \leq y \leq 4 \sqrt{x}}$ is A, then 3A is equal to __________. [2025]

Ans.
(368)

Area $A = \int_{1}^{25} 4 \sqrt{x} d x - \frac{1}{2} \times 4 \times 4 - \frac{1}{2} \times 20 \times 20$

   $= {[4 x^{3 / 2} \times \frac{2}{3}]}_{1}^{25} - 208$

   $= \frac{8}{3} (125 - 1) - 208$

   $= \frac{368}{3}$ sq. units

$\Rightarrow 3 A = 368$ .

Want Us to Email you About Special Offers & Updates?