The value of int(-1)^(3){|x-2|+[x]} dx, ...

The value of `int_(-1)^(3){|x-2|+[x]} dx`, where [.] denotes the greatest integer function, is equal to

A

`5`

B

`7`

C

`4`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

Topper's Solved these Questions

DEFINITE INTEGRALS
MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Numerical Answer Type Questions)|16 Videos
DEFINITE INTEGRALS
MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based) Single Correct Answer Type Questions|10 Videos
DEFINITE INTEGRALS
MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1 ) Single Correct Answer Type Questions|62 Videos
COMPLEX NUMBERS
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos
DETERMINANTS
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

The value of int_(0)^(2)[x+[x+[x]]] dx (where, [.] denotes the greatest integer function )is equal to

int_(0)^(2pi)[|sin x|+|cos x|]dx , where [.] denotes the greatest integer function, is equal to :

int_(-1)^(1)[x^(2)-x+1]dx, where [.] denotes thegreatest integer function,is equal to

int_(-1)^(2)[([x])/(1+x^(2))]dx , where [.] denotes the greatest integer function, is equal to

The value of int_(0)^(2017)sin(x-[x])dx : (where [ . ] denotes the greatest integer function) is equal to

int_(1)^(2)([x^(2)]-[x]^(2))dx where [.] ldenotes the greatest integer function is equal to

The value of int_(0)^(2)[x^(2)-x+1]dx (where,[*] denotes the greatest integer function) is equal to

The value of int_(1)^(10pi)([sec^(-1)x]) dx (where ,[.] denotes the greatest integer function ) is equal to

The value of int_(0)^(15)[x]^(3)dx equals, where [. ] denote the greatest integer function

MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-SOLVED EXAMPLES (LEVEL 2 ) Single Correct Answer Type Questions

If the equality int(0)^(x) (bt cos 4t)/( t^2) dt = (a sin 4x)/( x) -1 ...
Text Solution
|
The value of int(0)^(pi//2) (1+ 2 cos x)/( (2 + cos x)^(2) ) dx is
Text Solution
|
The value of int(-1)^(3){|x-2|+[x]} dx, where [.] denotes the greatest...
Text Solution
|
If f(x)=|(sin x+sin x 2x+sin3x,sin2x,sin3x),(3+4sinx,3,4sinx),(1+sinx,...
Text Solution
|
If a is a positive integer, then the number of values of a satisfying ...
Text Solution
|
The area bounded by the curve y=x^(4)-2x^(3)+x^(2)+3 with x-axis and o...
Text Solution
|
The value of int(0)^(pi) sin^(n) x cos^(2m+1) x dx is
Text Solution
|
int(-1/sqrt3)^(-1/sqrt3)(x^4)/(1-x^4)cos^(- 1)((2x)/(1+x^2))dx
Text Solution
|
The value of int(0)^(pi//2) sqrt( sin 2 theta) sin theta d theta is
Text Solution
|
Given I(m) = int(1)^(e ) (log x)^(m) dx. If (Im)/( K) + (l(m-2) )/(L) ...
Text Solution
|
If f(x) = pe^(2x) + qe^x + rx satisfies the condition f(0)=-1, f' (I...
Text Solution
|
The value of the integral int(0)^(1)(dx)/(x^(2)+2x cos alpha +1),0ltal...
Text Solution
|
The value of the integral int0^oo(xlogx)/((1+x^2)^2)dxi s 0 (b) log ...
Text Solution
|
If i is the greatest of the definite integrals I1=int0^1 e^-x cos ^2 ...
Text Solution
|
v34
Text Solution
|
int(-1)^(1)(d)/(dx)[tan^(-1)((1)/(x))]dx=
Text Solution
|
T h ev a l u eofint0^pi(sin(1+1/2)x)/(sin(x/2))dxi s ,n in I ,ngeq0 ...
Text Solution
|
The equation of tangent to the curve y=int(x^2)^(x^3)(dt)/(1+t^2) at x...
Text Solution
|
The mean value of the function f(x) = (1)/( x^2 + x) on the interval [...
Text Solution
|
Evaluate : int1^16tan^(- 1)sqrt(sqrt(x)-1)dx
Text Solution
|