int(dx)/(sqrt(x^(2)+2x+1))=Alog|x+1|+C, ...

`int(dx)/(sqrt(x^(2)+2x+1))=Alog|x+1|+C`, `x ne -1` then

A

`A=+-1`

B

`A=1` if `x gt -1`

C

`C in R`

D

`A=-1` if `x lt -1`

Text Solution

Verified by Experts

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

INTEGRALS
AAKASH INSTITUTE ENGLISH|Exercise Linked Comprehension Type Questions|11 Videos
INTEGRALS
AAKASH INSTITUTE ENGLISH|Exercise Assertion-Reason Type Questions|15 Videos
INTEGRALS
AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (Only one answer)|70 Videos
DIFFERENTIAL EQUATIONS
AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

int_(1)^(2) (x)/(sqrt(1+2x^(2)))dx

int(1-x^(2))sqrt(x)dx

int(1)/((x-1)sqrt(x^(2)-1))dx equals

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

AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (More than one answer)

int(dx)/(sqrt(x^(2)+2x+1))=Alog|x+1|+C, x ne -1 then
02:04
|
The value of int(x^(2)+cos^(2)x)/(1+x^(2))"cosec"^(2)x dx is equal to:
02:45
|
If l=int(sqrt(tanx)+sqrt(cotx))dx=f(x)+c then f(x) is equal to
02:33
|
int(dx)/(5+4cosx)=lambdatan^(-1)(mtan.(x)/(2))+C then
05:25
|
The value of the integral int e^(sin^(2)x)(cos x+cos^(3)x)sin x dx is
04:29
|
If int(3x ^(3)-17)e^(2x)dx={Ax^(3)+Bx^(2)+Cx+D}e^(2x)+k then
06:38
|
The relation int(sin2x+cos2x)=(1)/(sqrt(2))sin(2x-a)+c is true for
03:48
|
The value of lambda for which int(4x^(3)+lambda4^(x))/(4^(x)+x^(4))dx=...
02:06
|
If primitive of sqrt((1+secx)) is 2fog(x)+c, then
05:41
|
Let f(0)=f'(0)=0 and f^(primeprime)(x)=sec^4x+4 then find f(x)
10:49
|
If intsec2x dx=f{g(x)}+c then
05:20
|
If inttan^(4)xdx=Atan^(3)x+Btanx+phi(x), then
03:42
|
If primitive of sin (log x) is f(x)*{sin g(x)- cos h(x)}+c, (c being c...
06:55
|
If int cos^(-1)x+cos^(-1)sqrt(1-x^2) dx= Ax+f(x)sin^(-1)x-2sqrt(1-x^2)...
04:23
|
If int (3x+4)/(x^3-2x-4) \ dx = log|x-2| + k logf(x) + c, then (i) f...
07:12
|
A primitive of sin 6x is
09:14
|
If int(sinx)/(sin(x-a))dx=f(x)sina+g(x)cosa+c, then
04:53
|
If f(x)=int1^x(lnt)/(1+t)dt where x>0, then the values of of x satisfy...
09:08
|
The value of int0^oo(x dx)/((1+x)(1+x^2)) is equal to
06:26
|
If f(x)=int0^x(sint)/t dt ,x >0, then
04:19
|