Home
Class 12
MATHS
"if "f(x) ={ underset(5x, 1,2 le x le 3)...

`"if "f(x) ={ underset(5x, 1,2 le x le 3)(3x+4, 0 le x le 2}},` then evaluate `int_(0)^(3) f(x) dx.`

Text Solution

Verified by Experts

The correct Answer is:
`(53)/(2)`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7q|8 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7r|25 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7o|32 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|18 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

" if " f(x) ={ underset( 5x" "2 le x le 3) (3x+ 4,0 le x le 2), then int_(0)^(3) f(x) dx=?

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2):} then int_(0)^(2)f(x)dx equals

Given fuction, {(x^(2), "for" 0 le x lt1),(sqrtx, "for" 1le x le 2):} Evaluate int_(0)^(2) f(x) d x .

if f(x) =[underset(-x " ", " " x gt 1) (-sqrt(1-x^(2))" "," " 0 le x le 1), then

If {:(f(x)=x^(2)", if "0 le x le 1),(" "= sqrt(x)", if " 1 le x le 2","):} then int_(0)^(2)f(x)dx=

If f(x)={:{(x-1", for " 1 le x lt 2),(2x+3", for " 2 le x le 3):} , then at x=2

Let f(x)={{:(3x^(2)+4,"when"0 le x le 2),(9x-2,"when"2 le x le 4):} . Show that int_(0)^(4)f(x)dx=66 .