Home
Class 12
MATHS
Let f be a one-to-one continuous functio...

Let `f` be a one-to-one continuous function such that `f(2)=3` and `f(5)=7`. Given `int_2^5 f(x)dx=17,` then find the value of `int_3^7 f^(-1)(x) dx`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

Let f be a one to one continuous function such that f(2)=3 and f(5)=6 . Given int_(2)^(5)f(x)dx=17 , then find the value of int_(3)^(7)f^(-1)(x)dx .

A continuous real function f satisfies f(2x)=3f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

A continuous real function f satisfies f(2x)=3(f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

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_1^2f(x)dx .

Evaluate: int_(-1)^4f(x)dx=4a n dint_2^4(3-f(x))dx=7, then find the value of int_2^(-1)f(x)dxdot

Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x/7 AA x in R, then f(42) is

Evaluate: int_(-1)^4f(x)dx=4a n dint_2^4(3-f(x))dx=7, then find the value of int_-1^(2)f(x)dxdot

If f(0)=1,f(2)=3,f^'(2)=5 ,then find the value of int_0^1xf^('')(2x)dx

Let f: R → R be a one-one onto differentiable function, such that f(2)=1 and f^(prime)(2)=3. Then, find the value of (d/(dx)(f^(-1)(x)))_(x=1)

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=

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. The Integral int(pi/4)^((3pi)/4)(dx)/(1+cosx) is equal to:

    Text Solution

    |

  2. If In=int0^1(1-x^5)^n dx ,t h e n(55)/7(I(10))/(I(11))is equal to

    Text Solution

    |

  3. Let f be a one-to-one continuous function such that f(2)=3 and f(5)=7....

    Text Solution

    |

  4. The integral int(-1/2)^(1/2) ([x]+1n((1+x)/(1-x)))dx is equal to (wher...

    Text Solution

    |

  5. Evaluate: int0^(e-1)(e^((x^2+2x-1)/2))/(x+1)dx+int1^e xlogx e^(x^(2-2)...

    Text Solution

    |

  6. Evaluate: lim(x->0)(x-(int0^xcost^2dt))/(x^3-6x)

    Text Solution

    |

  7. The value of 2^(2010)(int0 ^1x^(1004)(1-x)^(1004)dx)/(int0^1x^(1004)(...

    Text Solution

    |

  8. If int(0)^(1)(e^(t))/(1+t)dt=a then find the value of int(0)^(1)(e^(t)...

    Text Solution

    |

  9. If f(x)=x+int0^1t(x+t)f(t)dt ,then the value of 23/2f(0) is equal...

    Text Solution

    |

  10. Let f:(0,oo)vec(0,oo) be a differentiable function satisfying, xint0^x...

    Text Solution

    |

  11. If f(x)a n dg(x) are continuous functions, then int(1nlambda)^(1n1/l...

    Text Solution

    |

  12. The value of int-pi^pi cos^2x/[1+a^x]dx, a > 0 is

    Text Solution

    |

  13. If int0^1 (e^t dt)/(t+1)=a, then evaluate int(b-1)^b (e^t dt)/(t-b-1)

    Text Solution

    |

  14. If f(x)=x+sinx , then find the value of intpi^(2pi)f^(-1)(x)dx.

    Text Solution

    |

  15. Let F(x)=intx^[x^2+pi/6](2cos^2t)dt for all x in R and f:[0,1/2] -> [0...

    Text Solution

    |

  16. If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , ...

    Text Solution

    |

  17. I1=int0^(pi/2)(sinx-cosx)/(1+sinxcosx)dx ,I2=int0^(2pi)cos^6xdx ,I3=in...

    Text Solution

    |

  18. The value of the integral int(e^(-1))^(e^2)|((log)e x)/x| dx is (A)...

    Text Solution

    |

  19. Iff(x)=int1^x(logt)/(1+t+t^2)dxAAxlt=1,t h e np rov et h a tf(x)=f(1/x...

    Text Solution

    |

  20. If f(x) = int0^pi (t sint dt) / (sqrt(1+tan^2xsin^2t)) for 0 < x < pi/...

    Text Solution

    |