Home
Class 12
MATHS
If {:(f(x)=3x^(2)", if "0 le...

If `{:(f(x)=3x^(2)", if "0 le x le 2),(" "=16-2x", if " x ge 2","):}`
then area bounded by the graph of `y=f(x)`, the X-axis and the line x = 3 is (in sq. u.)

A

12

B

19

C

17

D

24

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PART - B : Mastering The BEST)|8 Videos
  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS (MHT-CET EXAM QUESTIONS))|2 Videos
  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos
  • CONTINUITY F FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|131 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the parabola y^(2) = x along the X- axis & the lines x =0 , x= 2 is …… sq. units.

The area bounded by the curve y = sin^(2) x, 0 le x le pi/2 , X axis and the line x = pi/2 is

If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", if " 0 lt x le 1 ),(= 4x^(2)-3x", if " 1 lt x le 2 ):} then f is

Find the area bounded by y = (x - 1) (x - 2) (x - 3) , the x-axis, 1 le x le 3

Area under the line 4x-y+2=0 , above the X-axis, bounded by the lines x = 0 and x = 3 is (in sq. units)

If f(x)={:{(x^(2)-4", for " 0 le x le 2),(2x+3", for " 2 lt x le 4),(x^(2)-5", for " 4 lt x le 6):} , then

Area of the region bounded by the curves y = tan x, y = cot x and X-axis in 0 le x le (pi)/(2) is

If f (x) =x ^(2) -6x + 9, 0 le x le 4, then f(3) =