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

Let `I_(1)=int_(1)^(2)(1)/(sqrt(1+x^(2)))dx` and `I_(2)=int_(1)^(2)(1)/(x)dx`.Then

A

`I_(1) gt I_(2)`

B

`I_(2)gt I_(1)`

C

`I_(1)=I_(2)`

D

`I_(2) gt 2I_(2)`

Text Solution

Verified by Experts

The correct Answer is:

B

Topper's Solved these Questions

DEFINITE INTEGRALS
OBJECTIVE RD SHARMA|Exercise Chapter Test 1|60 Videos
DEFINITE INTEGRALS
OBJECTIVE RD SHARMA|Exercise Chapter Test 2|60 Videos
DEFINITE INTEGRALS
OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos
CONTINUITY AND DIFFERENTIABILITY
OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos
DERIVATIVE AS A RATE MEASURER
OBJECTIVE RD SHARMA|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

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

int_(1)^(2)(1)/(x sqrt(x^(2)-1))dx=

int_(1/2)^(1)(1)/(sqrt(1-x^(2)))dx=

If l_(1)=int_(0)^(1)(dx)/(sqrt(1+x^(2))) and I_(2)=int_(0)^(1)(dx)/(|x|) then

Let I _(1) = int _(1) ^(2) (dx )/(sqrt(1 + x ^(2))) and I _(2) = int _(1) ^(2) (dx)/(x)

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

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

If I_(1) int_(1)^(2) dx/sqrt(1+x^(2)) and I_(1) = int _(1)^(2) dx/x then

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

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

OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise

The value of the integral int(-pi//2)^(pi//2) sqrt(cos -cos^(2)x)dx is
Text Solution
|
The value of the integral int(-pi//2)^(pi//2) sqrt((1+cos^(2)x)/(2))dx...
Text Solution
|
Let I(1)=int(1)^(2)(1)/(sqrt(1+x^(2)))dx and I(2)=int(1)^(2)(1)/(x)dx....
Text Solution
|
int(0)^(pi//4) (sin x +cos x)/(3+sin2x)dx is equal to
Text Solution
|
The value of the integral int(0)^(pi//4) (sin theta+cos theta)/(9+16 s...
Text Solution
|
Let (d)/(dx)(f(x))=(e^(sinx))/(x),x gt 0. "If" int1^(4) (3)/(x)e^(sinx...
Text Solution
|
If I=int(-1)^(1) {[x^(2)]+log((2+x)/(2-x))}dx where [x] denotes the gr...
Text Solution
|
The value of int(-pi//2)^(pi//2)(x^(2)+x cosx+tan^(5)x+1)dx is equal t...
Text Solution
|
If int(-1)^(4) f(x)=4 and int(2)^(7) (3-f(x))dx=7, then the value of i...
Text Solution
|
The value of I=int(0)^(pi//2) (1)/(1+cosx)dx is
Text Solution
|
int(0)^(pi//2) (sin^(2)x)/(sinx+cosx)dxis equal to
Text Solution
|
The value of the integral int(a)^(b) (|x|)/(x)dx, a lt b is
Text Solution
|
The value of the integral int(0)^(2pi)(sin2 theta)/(a-b cos theta)d ...
Text Solution
|
The value of the integral int(0)^(1) x(1-x)^(n)dx, is
Text Solution
|
The value of the integral int(0)^(3alpha) cosec (x-alpha)cosec(x-2al...
Text Solution
|
The value of the integral int(0)^(pi) (sin k x)/(sin x)dx (k is an eve...
Text Solution
|
The value of the integral int(0)^(1)(1)/(x^(2)+2x cos alpha+1)dxis equ...
Text Solution
|
The greater value of F(x)=int(1)^(x) |t|dt on the interval [-1//2,1//2...
Text Solution
|
The value of the integral int(0)^(pi//2) |sin x-cos x|dx, is
Text Solution
|
The value of the integral int(0)^(pi//4) sin^(-4)x dx, is
Text Solution
|