int(1)/(sqrtx+x)dx=...

`int(1)/(sqrtx+x)dx=`

A

`(-1)/(2)log|1+sqrt(x)|+c`

B

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

C

`-2log|1+sqrt(x)|+c`

D

`2log|1+sqrt(x)|+c`

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

DIFFERENTIATION
NIKITA PUBLICATION|Exercise MCQ|559 Videos
LINE
NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|127 Videos

NIKITA PUBLICATION-INTEGRATION -MULTIPLE CHOICE QUESTIONS

int(dx)/(3x+5x^(-n))=
Text Solution
|
int(1)/(x+x^(-n))dx=
Text Solution
|
int(1)/(sqrtx+x)dx=
Text Solution
|
int(dx)/(4sqrtx+x)=
Text Solution
|
Evaluate: int(x^2+1)/(x(x^2-1))dx
Text Solution
|
Evaluate: int(x^3)/((x+1)^2)\ dx
Text Solution
|
If int(x^(3)+4x^(2)-7x+5)/(x+2)dx=(x^(3))/(3)+ax^(2)-11x+b log(x+2)+c,...
Text Solution
|
int(5x^(2)+4x+7)/(sqrt((2x+3)^(3)))dx=
Text Solution
|
int(2x+1)sqrt(x-4) dx=
Text Solution
|
int(4-5x)(3-x)^((-3)/(2))dx=
Text Solution
|
int(5-3x)(2-3x)^((-3)/(2))dx=
Text Solution
|
int1/(sqrt(x+a)+sqrt(x+b))\ dx
Text Solution
|
Evaluate: int(x^7)/((1-x^2)^5)\ dx .
Text Solution
|
int (x^7)/(1+x^4)^2dx=
Text Solution
|
int(dx)/(sqrt(1-x))=
Text Solution
|
int (dx)/((4x+5)^2+1)=
Text Solution
|
int (x-1)^2/((x^2+1)^2)dx=
Text Solution
|
int (dx)/((1-2x)sqrt((1-2x)^2-1))=
Text Solution
|
int (dx)/((4x-1)sqrt((4x-1)^2-1))=
Text Solution
|
int (x^2+1)/(x^4+1) dx
Text Solution
|