Home
Class 12
MATHS
int (f'(x))/(sqrt(f(x)))dx=...

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

A

`(1)/(2) log |f(x)|+c`

B

`sqrt(f(x))+c`

C

`2sqrt(f)x))+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|132 Videos

  • INDEFINITE INTEGRATION

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

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4)|4 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

Match the following {:("List - I "," List II "),( (A) int (f^(1)(x))/(f(x)) dx = ,(1) 2 sqrt(f(x)) +c ),((B) int (f^(1)(x))/(sqrt(f(x))) dx= , (2) (2)/(3) (f(x))^(3//2) + c ),((C) int f^(1) (x) sqrt(f(x)) dx =, (3)" log | f(x)| + c"),((D) int f^(1) (x).(f(x))^(2) dx = , (4) (1)/(3) (f(x))^(3) + c ):} The correct match for list -I from List - II is

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

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)

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

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

int_(0)^(a) (f(x)+f(-x))dx=

int (dx)/((x+100)sqrt(x+99))=f(x)+c rArr f(x)=

If int (e^(x)-1)/(e^(x)+1)dx=f(x)+c , then f(x)=

Observer the following statements : A : int (x^(2)-1)/(x^(2)) e^((x^(2)+1)/(x))dx=e^((x^(2)+1)/(x))+c R: int f'(x)e^(f(x))dx=f(x)+c Then which of the following is true ?

int_(a)^(b)(f(x))/(f(x)+f(a+b-x))dx=