Home
Class 12
MATHS
Let f(x) is differentiable function sa...

Let `f(x)` is differentiable function satisfying `2int_(1)^(2)f(tx) dt = x+2, AA x in R` Then `int_(0)^(1)(8f(8x)-f(x)-21x) dx` equal to

A

3

B

5

C

7

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 2 Part - II|23 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 2 Part - III|30 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 1 Part-III|2 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

  • DPP

    RESONANCE|Exercise QUESTION|665 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a differentiable function such that f(x)=x^(2)+int_(0)^(x)e^(-t)f(x-t)dt then int_(0)^(1)f(x)dx=

if f(x) is a differential function such that f(x)=int_(0)^(x)(1+2xf(t))dt&f(1)=e , then Q. int_(0)^(1)f(x)dx=

Let f:R to R be defined as f(x)=e^(-x)sinx . If F:[0, 1] to R is a differentiable function such that F(x)=int_(0)^(x)f(t)dt , then the vlaue of int_(0)^(1)(F'(x)+f(x))e^(x)dx lies in the interval

If f(x) is differentiable function and f(x)=x^(2)+int_(0)^(x) e^(-t) (x-t)dt ,then f)-t) equals to

Let f(x) be a differentiable function satisfying f(x)=int_(0)^(x)e^((2tx-t^(2)))cos(x-t)dt , then find the value of f''(0) .

Let f(x) be a function defined on R satisfying f(x)=f(1x) for all x in R. Then int_(-(1)/(2))^((1)/(2))f(x+(1)/(2))sin xdx equals

RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 2 Part - 1
  1. If C0/1+C1/2+C2/3=0 , where C0 C1, C2 are all real, the equation C2x...

    Text Solution

    |

  2. If f(x) = int(0)^(x)(2cos^(2)3t+3sin^(2)3t)dt, f(x+pi) is equal to :

    Text Solution

    |

  3. Let f(x) = int(0)^(x)(dt)/(sqrt(1+t^(2))) and g(x) be the inverse of ...

    Text Solution

    |

  4. Let f(x) is differentiable function satisfying 2int(1)^(2)f(tx) dt ...

    Text Solution

    |

  5. Let I(n) = int(0)^(1)x^(n)(tan^(1)x)dx, n in N, then

    Text Solution

    |

  6. If u(n) = int(0)^(pi//2) x^(n)sinxdx, then the value of u(10) + 90 u(...

    Text Solution

    |

  7. The value of int(1//e)^(tanx)(t)/(1+t^(2))dt+int(1//e)^(cotx)(1)/(t(1+...

    Text Solution

    |

  8. Let A(1) = int(0)^(x)(int(0)^(u)f(t)dt) dt and A(2) = int(0)^(x)f(u).(...

    Text Solution

    |

  9. lim(nrarroo) (sin'(pi)/(2n).sin'(2pi)/(2n).sin'(3pi)/(2n)"......."sin'...

    Text Solution

    |

  10. Area bounded by the region consisting of points (x,y) satisfying y le ...

    Text Solution

    |

  11. Find the area enclosed between the curves: y = loge (x + e) , x = loge...

    Text Solution

    |

  12. The area bounded by the curve x = a cos^3t,, y = a sin^3t, is :

    Text Solution

    |

  13. The area bounded by the curve f(x)=x+sinx and its inverse function bet...

    Text Solution

    |

  14. P(2,2), Q(-2,2) R(-2,-2) & S(2,-2) are vertices of a square. A para...

    Text Solution

    |

  15. The ratio in which the curve y = x^(2) divides the region bounded by ...

    Text Solution

    |

  16. If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi)a n df(x)...

    Text Solution

    |

  17. The area bounded by the curves y = x e^(x), = x e^(-x) and the line ...

    Text Solution

    |

  18. Obtain the area enclosed by region bounded by the curves y = x ln x an...

    Text Solution

    |

  19. The area of the region on place bounded by max (|x|,|y|) le 1/2 is

    Text Solution

    |

  20. Consider the following statement : S(1) : The value of int(0)^(2pi)c...

    Text Solution

    |