Home
Class 12
MATHS
If f(x)=int0^xtsintdt, then f'(x) is :...

If `f(x)=int_0^xtsintdt`, then `f'(x)` is :

A

cosx+xsinx

B

xsinx

C

xcosx

D

sinx+xcosx

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|1126 Videos

  • DIFFERENTIAL EQUATIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|507 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|279 Videos

Similar Questions

Explore conceptually related problems

For x epsilon(0,(5pi)/2) , definite f(x)=int_(0)^(x)sqrt(t) sin t dt . Then f has

Statement I If f (x) = int_(0)^(1) (xf(t)+1) dt, then int_(0)^(3) f (x) dx =12 Statement II f(x)=3x+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=

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

Statement I The function f(x) = int_(0)^(x) sqrt(1+t^(2) dt ) is an odd function and STATEMENT 2 : g(x)=f'(x) is an even function , then f(x) is an odd function.

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

PRADEEP PUBLICATION-INTEGRALS-EXERCISE
  1. Evaluate the following integrals. underset(1)overset(2)int(1/x-1/(2x...

    Text Solution

    |

  2. The value of the integral int(1/3)^1 (x-x^3)^(1/3)/x^4 dx is :

    Text Solution

    |

  3. If f(x)=int0^xtsintdt, then f'(x) is :

    Text Solution

    |

  4. Evaluate: underset0overset(pi//2)int cos^2xdx.

    Text Solution

    |

  5. Evaluate the following integrals: underset(0)overset(pi//2)int(sqrt(...

    Text Solution

    |

  6. Evaluate the following integrals: underset(0)overset(pi//2)int(sin^(...

    Text Solution

    |

  7. Evaluate the following integrals: underset(0)overset(pi//2)int(cos^5...

    Text Solution

    |

  8. By using properties of definite integrals, evaluate the following: und...

    Text Solution

    |

  9. By using the properties of definite integrals, evaluate the integral: ...

    Text Solution

    |

  10. By using properties of definite integrals, evaluate the following: und...

    Text Solution

    |

  11. Evaluate the integrals underset0overset(pi/4) int (log(1+tanx))dx

    Text Solution

    |

  12. By using the properties of definite integrals, evaluate the integral: ...

    Text Solution

    |

  13. Evaluate the following: underset0overset(pi//2)int (2logsinx-logsin2x)...

    Text Solution

    |

  14. By using the properties of definite integrals, evaluate the integrals:...

    Text Solution

    |

  15. Evaluate underset0oversetpi int (xdx)/(1+sinx)

    Text Solution

    |

  16. Evaluate the following: underset(-pi//2)overset(pi//2)intsin^7xdx

    Text Solution

    |

  17. By using the properties of definite integrals, evaluate the integrals:...

    Text Solution

    |

  18. Evaluate the following integrals: underset(0)overset(pi//2)int(sinx-...

    Text Solution

    |

  19. By using the properties of definite integrals, evaluate the integral: ...

    Text Solution

    |

  20. Evaluate the following integrals: underset(0)overset(a)int(sqrtx)/(s...

    Text Solution

    |