Home
Class 12
MATHS
f(x) is a continuous function for all re...

`f(x)` is a continuous function for all real values of `x` and satisfies `int_n^(n+1)f(x)dx=(n^2)/2AAn in Idot` Then `int_(-3)^5f(|x|)dx` is equal to `(19)/2` (b) `(35)/2` (c) `(17)/2` (d) none of these

A

`19/2`

B

`35/2`

C

`17/2`

D

`37/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|16 Videos

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|17 Videos

  • HYPERBOLA

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|3 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|6 Videos

Similar Questions

Explore conceptually related problems

f(x) is a continuous function for all real values of x and satisfies int_(n+1)^(n+1)f(x)dx=(n^(2))/(2)AA n in I. Then int_(5)^(5)f(|x|)dx is equal to (19)/(2) (b) (35)/(2) (c) (17)/(2) (d) none of these

int_(n)^(n+1)f(x)dx=n^(2)+n then int_(-1)^(1)f(x)dx=

If int_(n)^(n+1)f(x)dx = n^(2) , where n is an integer, then int_(-2)^(4)f(x)dx=

int_(0)^(a)f(2a-x)dx=m and int_(0)^(a)f(x)dx=n then int_(0)^(2a)f(x)dx is equal to

If 2f(x) - 3 f(1//x) = x," then " int_(1)^(2) f(x) dx is equal to

If int f(x)dx=F(x), then int x^(3)f(x^(2))dx is equal to:

Let f(x) be a continuous function such that int_(n)^(n+1) f(x) dx=n^(3) , ninZ . Then the value of the integeral int_(-3)^(3) f(x) dx, is

For every integer n, int_(n)^(n+1)f(x)dx=n^(2) , then the value of int_(0)^(5)f(x)dx=

Let f:R rarr R be a continuous function given by f(x+y)=f(x)+f(y) for all x,y,in R if int_(0)^(2)f(x)dx=alpha, then int_(-2)^(2)f(x)dx is equal to

A continuous real function f satisfies f(2x)=3(f(x)AA x in R. If int_(0)^(1)f(x)dx=1 then find the value of int_(1)^(2)f(x)dx

VK JAISWAL-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. f(x) is a continuous function for all real values of x and satisfies i...

    Text Solution

    |

  2. int (x+ ( cos^(-1)3x )^(2))/(sqrt(1-9x ^(2)))dx = (1)/(k (1)) ( sqrt(1...

    Text Solution

    |

  3. If int (0)^(oo) (x ^(3))/((a ^(2)+ x ^(2)))dx = (1)/(ka ^(6)), then fi...

    Text Solution

    |

  4. int( (x^2+1)dx)/x

    Text Solution

    |

  5. If int (x ^(6) +x ^(4)+x^(2)) sqrt(2x ^(4) +3x ^(2)+6) dx = ((ax ^(6) ...

    Text Solution

    |

  6. int( x^2+3)/(x^2+2)dx

    Text Solution

    |

  7. The value of int (tan x )/(tan ^(2) x + tan x+1)dx =x -(2)/(sqrtA) tan...

    Text Solution

    |

  8. Let int (0)^(1) (4x ^(3) (1+(x ^(4)) ^(2010)))/((1+x^(4))^(2012))dx = ...

    Text Solution

    |

  9. Let int ( 1) ^(sqrt5)(x ^(2x ^(2)+1) +ln "("x ^(2x ^(2x ^(2+1)))")")dx...

    Text Solution

    |

  10. If int (dx )/(cos ^(3) x-sin ^(3))=A tan ^(-1) (f (x)) +bln |(sqrt2+f ...

    Text Solution

    |

  11. Find the value of |a| for which the area of triangle included between ...

    Text Solution

    |

  12. Let I = int (0) ^(pi) x ^(6) (pi-x) ^(8)dx, then (pi ^(15))/((""^(15) ...

    Text Solution

    |

  13. int( x^3)/(x^2-3)dx

    Text Solution

    |

  14. If a continuous function f on [0,a] satisfies f(x)f(a-x)=1,agt0, then ...

    Text Solution

    |

  15. If {x} denotes the fractional part of x, then I = int (0) ^(100) (sqrt...

    Text Solution

    |

  16. int( x^3)/(x^2-2)dx

    Text Solution

    |

  17. IF M be the maximum valur of 72 int (0) ^(y) sqrt(x ^(4) +(y-y^(2))^(2...

    Text Solution

    |

  18. Find the number points where f (theta) = int (-1)^(1) (sin theta dx )/...

    Text Solution

    |

  19. underset(nrarroo)lim[(1)/(sqrtn)+(1)/(sqrt(2n))+(1)/(sqrt(3n))+...+(1)...

    Text Solution

    |

  20. The maximum value of int (-pi//2) ^(2pi//2) sin x. f (x) dx, subject t...

    Text Solution

    |

  21. Given a funtion g, continous everywhere such that g (1)=5 and int (0)^...

    Text Solution

    |