Home
Class 12
MATHS
I : int (dx)/(sqrt(x)(x+9))=f(x)+c const...

I : `int (dx)/(sqrt(x)(x+9))=f(x)+c` constnat, then `f(x)=(2)/(3)Tan^(-1)((sqrt(x))/(3))`
II : `int (dx)/((x+100)sqrt(x+99))=f(x) +c rArr f(x)=2 Tan^(-1)sqrt(x+99)`

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II true

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-2)|4 Videos
  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-3)|4 Videos
  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|109 Videos
  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

If int (dx)/(sqrt(x)(x+9))=f(x)+ constant, then f(x)=

int (1)/(sqrt(x)(x + 9)) dx =

int (dx)/(sqrt(x) (x + 4)) = f(x) + c then f(x) =

int (x)/(sqrt(x^(2)+1))dx=

int (f'(x))/(sqrt(f(x)))dx=

If int (1)/((x + 100) sqrt(x + 99)) dx = f (x) + c then f(x) =

int (dx)/((1+x)sqrt(3+2x -x^(2)))

int (sinx)/(cos x(1+ cos x))dx= f(x)+ c rArr f(x)=