Home
Class 12
MATHS
If (x)=int0^x tsint\ dt ,\ then write t...

If `(x)=int_0^x tsint\ dt ,\ ` then write the value of `f^(prime)(x)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    RD SHARMA ENGLISH|Exercise All Questions|282 Videos

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

Similar Questions

Explore conceptually related problems

If f(x)=int_0^x(sint)/t dt ,x >0, then

If f(x)=int_0^x tf(t)dt+2, then

If int_0^xf(t) dt=x+int_x^1 tf(t)dt, then the value of f(1)

If f(x)=1+1/x int_1^x f(t) dt, then the value of f(e^-1) is

If f(x)=-int_(0)^(x) log (cos t) dt, then the value of f(x)-2f((pi)/(4)+(x)/(2))+2f((pi)/(4)-(x)/(2)) is equal to

f(x)=int_0^x f(t) dt=x+int_x^1 tf(t)dt, then the value of f(1) is

If xint_0^xsin(f(t))dt=(x+2)int_0^x tsin(f(t))dt ,w h e r ex >0, then show that f^(prime)(x)cotf(x)+3/(1+x)=0.

If f(x) attains a local minimum at x=c , then write the values of f^(prime)(c) and f^(prime)prime(c) .

If int_0^a3x^2dx=8,\ write the value of ' a^(prime)dot

If f(x)=x+int_0^1 t(x+t) f(t)dt, then find the value of the definite integral int_0^1 f(x)dx.

RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. If int0^1(3x^2+2x+k)dx=0, find the value of kdot

    Text Solution

    |

  2. If int0^a3x^2dx=8,\ write the value of ' a^(prime)dot

    Text Solution

    |

  3. If (x)=int0^x tsint\ dt ,\ then write the value of f^(prime)(x)

    Text Solution

    |

  4. If int0^a1/(4+x^2)dx=pi/8 , find the value of adot

    Text Solution

    |

  5. The value of int-2^2 (ax^3+bx+c)dx depends on (A) the value of b (B) t...

    Text Solution

    |

  6. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

    Text Solution

    |

  7. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

    Text Solution

    |

  8. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

    Text Solution

    |

  9. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

    Text Solution

    |

  10. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

    Text Solution

    |

  11. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

    Text Solution

    |

  12. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

    Text Solution

    |

  13. If [dot]a n d\ {dot} denote respectively the greatest integer and frac...

    Text Solution

    |

  14. The value of int0^(pi//2)(sqrt(cosx))/(sqrt(cos x)+sqrt(sin x))dx is p...

    Text Solution

    |

  15. int0^pi1/(1+sinx)dx equals a. 0 b. 1//2 c. 2 d. 3//2

    Text Solution

    |

  16. int0^oo1/(1+e^x)dx equals a. log2-1 b. log2 c. log4-1 d. log2

    Text Solution

    |

  17. The value of int0^(2pi)sqrt(1+sin (x/2)dx is a. 0 b. 4 c. 2 d. 8

    Text Solution

    |

  18. int0^(pi^2//4)(sinsqrt(x))/(sqrt(x))dx equals a. pi^2//8 b. pi//4 c. 2...

    Text Solution

    |

  19. int0^(pi//2)1/(2+cos\ x)dx equals a. 1/3tan^(-1)(1/(sqrt(3))) b. 2/(sq...

    Text Solution

    |

  20. 36/piint(pi//6)^(pi//3)(dx)/(1+sqrt(cotx)) equals to

    Text Solution

    |