Home
Class 12
MATHS
If f'(x)=x/2 + 2/x and f(1)=5/4, then fi...

If `f'(x)=x/2 + 2/x` and `f(1)=5/4`, then find `f(x)`.

Text Solution

Verified by Experts

The correct Answer is:
`rArrf(x)=(x^(2))/(4)+2log|x|+1`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

If f'(x)=4x^3-3x^2+2x+k and f(0)=1, f(1)=4 find f(x)

If f'(x)=x-(1)/(x^(2)) and f(1)=(1)/(2), find f(x)

If f'(x)=(1)/(x)+x^(2) and f(1)=(4)/(3) then find the value of f(x)

A=(1,2,3,4) and f(x)=2x^(2),x inA If f(x)=18, then find x.

If f'(x)=x^2+5 and f(0)=-1 then f(x)=

f(x)+f(1-x)=2 then find f((1)/(2))=

If f(x)=|x-2|+|x-5| then find f'(4)

If B = [{:(-1, 0), (2, 4):}] " and " f(x) = x^(2) - 4x + 5, then find f(B).

if f(x)+f((1)/(x))=f(x)f((1)/(x)) and f(3)=28 Then find f(4)