Home
Class 12
MATHS
The value of int(-pi//2)^(pi//2)dx/([x]+...

The value of `int_(-pi//2)^(pi//2)dx/([x]+[sinx]+4)` where [t] denotes the greatest integer less or equal to t, is

A

`1/12(7pi+5)`

B

`3/10(4pi-3)`

C

`1/12(7pi-5)`

D

`3/20(4pi-3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 9|6 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 7|8 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

The value of int_(-2)^2 (sin^2x)/([x/pi]+1/2) dx where [x] denotes the greatest integer lex is

int_(pi/2)^(3pi/2) [2sinx]dx is equal to [x] denotes the greatest integer function

Evaluate: int_(-pi/2)^(2pi)[cot^(-1)x]dx , where [dot] denotes the greatest integer function

Evaluate: int_(-pi/2)^(2pi)[cot^(-1)x]dx , where [dot] denotes the greatest integer function

int_(0)^(pi)[cotx]dx, where [.] denotes the greatest integer function, is equal to

The value of int_(-1)^2abs([x]-{x})dx where [x] is the greatest integer less then or equal to x and {x} is the fractional part of x is

Evaluate: int_0^((5pi)/(12))[tanx]dx , where [dot] denotes the greatest integer function.

Evaluate lim_(x->(5pi)/4) [sinx+cosx], where [.] denotes the greatest integer function.

Evaluate: int_0^(2pi)[sinx]dx ,where [dot] denotes the greatest integer function.

Let f(x)=[tanx[cotx]], x in [(pi)/(12),(pi)/(2)), (where [.] denotes the greatest integer less than or equal to x). The number of points, where f(x) is discontinuous is