int (1)^(3) (cos (logx))/(x) dx is equa...

` int _(1)^(3) (cos (logx))/(x) dx` is equal to

`cos (log 3)`

` sin (log 3)`

`pi//4`

Verified by Experts

The correct Answer is:

`int_(1)^(3)(cos(log x))/(x) dx = [sin(log x)]_(1)^(3)`
`= sin (log 3)-sin(log 1)=sin (log 3)`

DEFINITE INTEGRALS
MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PRACTICE EXERCISE (Exercise 2) (MISCELLANEOUS PROBLEMS)|76 Videos
CONTINUITY
MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|16 Videos
DIFFERENTIAL EQUATION
MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|27 Videos

The value of int 0 ^ 1 x ^ 2 ( 1 - x ^ 2 ) ^ (3//2 ) dx ...
Text Solution
|
The value of int0^oox/((1+x)(x^2+1))dx is
Text Solution
|
Evaluate int(0)^(pi)(x dx)/(1+cos alpha sin x),where 0lt alpha lt pi.
Text Solution
|
int(pi//2)^(pi//2)(cosx)/(1+e^(x))dx is equal to
Text Solution
|
int(0)^(pi//2)(1)/((1+tanx))dx=?
Text Solution
|
If int(0)^(1) tan^(-1) x dx = p , then the value of int(0)^(1) tan^(-1...
Text Solution
|
The value of int (0)^(pi//2) log ("cosec "x) dx is
Text Solution
|
Which of the following is true ?
Text Solution
|
int(0)^(5) 1/((x-1)(x-2))dx is equal to
Text Solution
|
int(pi/4)^(pi/2) e^x(logsinx+cotx)dx
Text Solution
|
The value of int(0)^(pi) x sin^(3) x dx is
Text Solution
|
The value of int0 ^(pi/2) (cos3x+1)/(cosx - 1) dx is equal to
Text Solution
|
The value of underset(0)overset(1)int tan^(-1) ((2x-1)/(1+x-x^(2)))dx ...
Text Solution
|
If f is a continous function, then
Text Solution
|
The value of int(-pi)^(pi) sin^(3) x cos^(2) x dx is equal to
Text Solution
|
The value of int(-1)^(1) log ((x-1)/(x+1))dx is
Text Solution
|
int(pi//6)^(pi//3)(1)/((1+sqrt(tanx)))dx=(pi)/(12)
Text Solution
|
int (1)^(2)e^(x) (1/x - 1/(x^(2)))dx is qual to
Text Solution
|
int (1)^(3) (cos (logx))/(x) dx is equal to
Text Solution
|
int(0)^(1) (x^(2))/(1+x^(2))dx is equal to
Text Solution
|

Similar Questions