Home
Class 12
MATHS
Evaluate: int(pi//4)^(pi//4)(x+pi//4)/(2...

Evaluate: `int_(pi//4)^(pi//4)(x+pi//4)/(2-cos2x)dx`

A

`(8pisqrt(3))/5`

B

`(2pisqrt(3))/9`

C

`(4pi^(2)sqrt(3))/9`

D

`(pi^(2))/(6sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos
  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|115 Videos
  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

Similar Questions

Explore conceptually related problems

int_(pi//4)^(pi//2)(dx)/((1-cos2x))

int_(pi//4)^(3pi//4)(dx)/(1+cos x)=

Evaluate : int_(-pi//4)^(pi//4) |sin x|dx

int_(pi//6)^(pi//4)(sec^(2)x+cos^(2)x)dx=

Find the value of int_(pi/4)^(pi/3) (sin2x)/(1-cos2x) dx

int_(-pi//4)^(pi//4)sin^(2)x dx=

Evaluate: int_(-pi/4)^( pi/4)(sec^(2)x)/(1+e^(x))dx

Evaluate: int_(-pi/4)^( pi/4)(tan^(2)x)/(1+e^(x))dx

int_(-pi//4)^(pi//4) "cosec"^(2) x dx

TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
  1. To find the numberical value of overset(2)underset(-2)int (px^(3)+qx+8...

    Text Solution

    |

  2. If f(x)={(e^(cosx)sinx, |x|le2),(2, otherwise):} then int-2^3f(x)dx= (...

    Text Solution

    |

  3. int(-2)^0{x^3+3x^2+3x+3+(x+1)cos(x+1)dxi se q u a lto -4 (b) 0 (c...

    Text Solution

    |

  4. If f(x) is defined on [-2, 2] by f(x) = 4x^2 – 3x + 1 and g(x) = (f(-x...

    Text Solution

    |

  5. int-2^2 |x| dx is equal to

    Text Solution

    |

  6. int(-2)^(2)|xcos pix|dx is equal to

    Text Solution

    |

  7. int(0)^(1) x tan^(-1) x " "dx =

    Text Solution

    |

  8. int(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x + cos^(4)x)dx=

    Text Solution

    |

  9. The value of int(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x)) dx is

    Text Solution

    |

  10. Evaluate: int(-1)^1(sinx-x^2)/(3-|x|)dx

    Text Solution

    |

  11. The value of integral overset(pi)underset(-pi)int (cos ax-sin b x)^(2)...

    Text Solution

    |

  12. int(-(3pi)/2)^(-pi/2) {(pi+x)^3+cos^2(x+3pi)}dx is equal to (A) pi/4-1...

    Text Solution

    |

  13. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

    Text Solution

    |

  14. Evaluate: int(pi//4)^(pi//4)(x+pi//4)/(2-cos2x)dx

    Text Solution

    |

  15. Let p(x) be a function defined on R such that underset(xrarr infty)(l...

    Text Solution

    |

  16. A(x)=|(1,2,3),(x+1,2x+1,3x+1),(x^(2)+1,2x^(2)+1,3x^(2)+1)|impliesint(0...

    Text Solution

    |

  17. The value of int 0^(sin^2x)sin^(-1)sqrt(t)dt+int 0^(cos^2x)cos^(-1)sqr...

    Text Solution

    |

  18. If M=int(0)^((pi)/2)(cosx)/(x+2)dx and N=int(0)^((pi)/4)(sinxcosx)/((x...

    Text Solution

    |

  19. If for nonzero x ,af(x)+bf(1/x)=1/x-5, where a!=b then int1^2f(x)dx=1

    Text Solution

    |

  20. Let f be the function defined on [-pi,pi] given by f(0)=9 and f(x)=sin...

    Text Solution

    |