Home
Class 12
MATHS
\int{0}^(pi/2) sin(x-(pi)/4) dx =.........

`\int_{0}^(pi/2) sin(x-(pi)/4) dx ` =......... A) 2+`sqrt 2` B) 2-`sqrt 2` C) -2+`sqrt 2` D) 0

A

2+`sqrt 2`

B

2-`sqrt 2`

C

-2+`sqrt 2`

D

-2-`sqrt 2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos
  • BINOMIAL DISTRIBUTION

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos
  • DIFFERENTIAL EQUATIONS

    CHETANA PUBLICATION|Exercise EXERCISE|254 Videos

Similar Questions

Explore conceptually related problems

\int_{0}^(pi^2/4) sin sqrt x dx =.........

int_(0)^(2pi)e^(x/2).sin(x/2+(pi)/4)dx=

int_(0)^(pi)sin^(2)x dx is equal to

int_(0)^(pi)log sin^(2)x dx=

\int_{0}^1 x^2 sqrt(1-x) dx is..........

int_(0)^(2pi)sqrt(1+"sin"x/2)dx=

tan""(2pi)/(5)-tan""(pi)/(15)-sqrt3tan""(2pi)/(5)tan""(pi)/(15) is equal to............. A) -sqrt3 B) (1)/(sqrt3) C) 1 D) sqrt3

CHETANA PUBLICATION-Definite integration-Exercise
  1. The value of integral \int{(-pi)/3}^((pi)/3) frac{x sin x}{cos^2 x} dx...

    Text Solution

    |

  2. \int{0}^1 tan^(-1) frac{x}{sqrt (1-x^2)} dx is.......... A) (pi)/2 +1...

    Text Solution

    |

  3. \int{0}^((pi)/4) frac{sin 2t}{sin^4 t + cos^4 t} dt is..........

    Text Solution

    |

  4. \int{2}^3 frac{1}{x ( x^2 -1)} dx is.......... A) (1/2) log (32/27) ...

    Text Solution

    |

  5. \int{0}^1 x^2 sqrt(1-x) dx is..........

    Text Solution

    |

  6. \int{0}^pi frac{t tan t}{sec t + cos t} dt =..........

    Text Solution

    |

  7. \int{0}^((pi)/2) frac{sin x}{(sin x + cos x)^2} dx =k log(1+sqrt 2), ...

    Text Solution

    |

  8. \int{0}^(pi/2) sin(x-(pi)/4) dx =......... A) 2+sqrt 2 B) 2-sqrt 2 ...

    Text Solution

    |

  9. If \int{0}^k 4x^3 dx =16, then value of k is .......... A) 1 B) 2 C)...

    Text Solution

    |

  10. If \int{0}^1 frac{dx}{sqrt (1+x) -sqrt x} = k/3, then k=...........

    Text Solution

    |

  11. The value of \int{-pi/4}^(pi/4) log( frac{2+sin theta }{2-sin theta}) ...

    Text Solution

    |

  12. If \int{0}^k 4x^3 dx =16, then value of k is .......... A) 1 B) 2 C)...

    Text Solution

    |

  13. Evaluate the following: If \int{0}^k frac{1}{2+8x^2} dx = (pi)/16, fin...

    Text Solution

    |

  14. Evaluate : \int{1}^2 frac{1}{x^2} e^(1/x) dx

    Text Solution

    |

  15. Evaluate: \int{0}^((pi)/4) frac{tan^3 x}{1+ cos 2x} dx

    Text Solution

    |

  16. Evaluate: \int{0}^1frac{x^2 - 2}{x^2+1} dx

    Text Solution

    |

  17. Evaluate: \int{0}^((pi)/2) x sinx dx

    Text Solution

    |

  18. Prove that \int{0}^(2a) f(x) dx = \int{0}^a [f(x) + f(2a-x)] dx

    Text Solution

    |

  19. Evaluate: \int{0}^1 frac{log x}{sqrt (1-x^2)} dx

    Text Solution

    |

  20. Evaluate: \int{0}^2 e^x dx using limit of a sum

    Text Solution

    |