Home
Class 12
MATHS
inta^b sgn(x)dx equals (a,b in R)...

`int_a^b sgn(x)dx` equals `(a,b in R)`

A

`|b|-|a|`

B

`(b-a)sgn(b-a)`

C

`bsgn(b)-asgn(a)`

D

`|a|-|b|`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Linked Comprehension Type Questions|11 Videos
  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assertion-Reason Type Questions|15 Videos
  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (Only one answer)|70 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

int_a^b logx/x dx

int_(a)^(b) x dx

int_a^b logx/x^2dx

int_(a)^(b) sin x dx

If f(a+b-x)=f(x),\ t h e n\ int_a^b xf(x)dx is equal to a. (a+b)/2int_a^bf(b-x)dx b. (a+b)/2int_a^bf(b+x)dx c. (b-1)/2int_a^bf(x)dx d. (a+b)/2int_a^bf(x)dx

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

If f is a function with period P, then int_a^(a+p)f(x)dx is equal to f(a) (b) equal to f(p) independent of a (d) None of these

int_(a)^(b)cos x dx

Let f(x)=f(a-x) and g(x)+g(a-x)=4 then int_0^af(x)g(x)dx is equal to (A) 2int_0^af(x)dx (B) int_0^af(x)dx (C) 4int_0^af(x)dx (D) 0

If f(x) is continuous for all real values of x , then sum_(r=1)^nint_0^1f(r-1+x)dx is equal to (a) int_0^nf(x)dx (b) int_0^1f(x)dx (c) int_0^1f(x)dx (d) (n-1)int_0^1f(x)dx

AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (More than one answer)
  1. If primitive of sin (log x) is f(x)*{sin g(x)- cos h(x)}+c, (c being c...

    Text Solution

    |

  2. If int cos^(-1)x+cos^(-1)sqrt(1-x^2) dx= Ax+f(x)sin^(-1)x-2sqrt(1-x^2)...

    Text Solution

    |

  3. If int (3x+4)/(x^3-2x-4) \ dx = log|x-2| + k logf(x) + c, then (i) f...

    Text Solution

    |

  4. A primitive of sin 6x is

    Text Solution

    |

  5. If int(sinx)/(sin(x-a))dx=f(x)sina+g(x)cosa+c, then

    Text Solution

    |

  6. If f(x)=int1^x(lnt)/(1+t)dt where x>0, then the values of of x satisfy...

    Text Solution

    |

  7. The value of int0^oo(x dx)/((1+x)(1+x^2)) is equal to

    Text Solution

    |

  8. If f(x)=int0^x(sint)/t dt ,x >0, then

    Text Solution

    |

  9. The value of int0^1(2x^2+3x+3)/((x+1)(x^2+2x+2))dx is

    Text Solution

    |

  10. inta^b sgn(x)dx equals (a,b in R)

    Text Solution

    |

  11. IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,bn=int0^(pi/2)((sinn x)/(sinx))...

    Text Solution

    |

  12. int0^1 sin(x^2+2x+1)dx-int1^2 sinx^2 dx is equal to (i)0 (ii)1 (ii...

    Text Solution

    |

  13. Ifx=int0^y(dt)/(sqrt(1+9t^2))a n d(d^2y)/(dx^2)=a y ,t h e nfin da

    Text Solution

    |

  14. The integral underset(0)overset(pi)int x f(sinx )dx is equal to

    Text Solution

    |

  15. Let f(x) be an odd continous function which is periodic with period 2....

    Text Solution

    |

  16. If I=overset(4)underset(3)int (1)/(3sqrt(logx))dxthen

    Text Solution

    |

  17. Let f : (0,oo) to R and F(x)=int(0)^(x)t f(t)dt. If F(x^(2))=x^(4)+x...

    Text Solution

    |

  18. Let l(1)=int(1)^(10^(4))({sqrt(x)})/(sqrt(x))dx and l(2)=int(0)^(10)x{...

    Text Solution

    |

  19. If f(x)=x^(2)int(0)^(1)f(t)dt+2, then

    Text Solution

    |

  20. If f(x)=int0^x tf(t)dt+2, then

    Text Solution

    |