Home
Class 12
MATHS
The function L(x)=int(1)^(x)(dt)/t satis...

The function `L(x)=int_(1)^(x)(dt)/t` satisfies the equation

A

`L(x+y)=L(x)+L(y)`

B

`L(x/y)=L(x)+L(y)`

C

`L(xy)=L(x)+L(y)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The least value of the function phi(x)=int_((7pi)/6)^(x)(4sint+3cost)dt on the interval [(7pi)/6,(4pi)/3] is

A real valued function f (x) satisfies the functional equation f (x-y)=f(x)f(y)- f(a-x) f(a+y) where 'a' is a given constant and f (0) =1, f(2a-x) is equal to :

The value of x in (0,(pi)/(2)) satisfying the equation sin x cos x =(1)/(4) are . . .

The value of c in (0,2) satisfying the Mean Value theorem for the function f(x)=x(x-1)^(2), x epsilon[0,2] is equal to

The value of c in (0,2) satisfying the Mean Value theorem for the function f(x)=x(x-1)^(2), x epsilon[0,2] is equal to

Prove that \int_{-a}^a f(x) dx = 0, if f(x) is odd function, =2 \int_{0}^a f(x) dx, if f(x) is an even function

For the function f(x)=(x-1)(x-2) defined on [0,1/2] , the value of 'c' satisfying Lagrange's mean value theorem is

For x epsilon(0,(5pi)/2) , definite f(x)=int_(0)^(x)sqrt(t) sin t dt . Then f has

If f(x)=int_(-1)^(x)|t|dt , then for any x ge0,f(x) is equal to

If kint_(0)^(1)xf(3x)dx=int_(0)^(3)tf(t)dt , then the value of k is