Home
Class 12
MATHS
int(-pi//2)^(pi//2)"sin"|x|dx is equal...

`int_(-pi//2)^(pi//2)"sin"|x|dx` is equal to (a) `1` (b) `2` (c) `-1` (d) `-2`

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

int_(-pi/2)^(pi/2) |sin x| dx

int_(-pi//2)^(pi//2) cos x dx is equal to A) 0 B) 1 C) 2 D) 4

int_(0)^(1//2) |sin pi x|dx is equal to

Evaluate: int_(-pi//2)^(pi//2)sin^7x dx

Evaluate: int_(-pi//2)^(pi//2)sin^2x\ dx

int_(0)^(pi//2)sqrt( 1- sin 2 x ) dx is equal to

int_(-pi//2)^(pi//2) sqrt((1-cos 2x)/( 2)) dx is equal to

Evaluate : int_(-pi/2) ^(pi/2) sin^2x dx

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

int_(0)^(pi^(2)//4) sin sqrt(x)dx equals to

RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. int0^pi(xtanx)/(secx+cosx)dxi s (a) (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2...

    Text Solution

    |

  2. int0^21/(1+tanx)dx is equal to (pi^)/4 (b) (pi^)/3 (c) (pi^)/...

    Text Solution

    |

  3. int(-pi//2)^(pi//2)"sin"|x|dx is equal to (a) 1 (b) 2 (c) -1 (d)...

    Text Solution

    |

  4. The value of the integral int0^oox/((1+x)(1+x^2))dx is (pi^)/2 (b) ...

    Text Solution

    |

  5. int0^3(3x+1)/(x^2+9)dx = (pi^)/(12)+log(2sqrt(2)) (b) (pi^)/2+log(2...

    Text Solution

    |

  6. I10=int0^(pi/2)x^(10)sinx dx then I10+90I8 is (A) 10(pi/2)^6 (B) 10(p...

    Text Solution

    |

  7. The derivative of f(x)=int(x^2)^(x^3)1/((log)e t)dt ,(x >0), is 1/(...

    Text Solution

    |

  8. Evaluate:int0^(pi//2)(cosx)/(1+cosx+sinx)dx

    Text Solution

    |

  9. Evaluate: int0^(pi//2)1/(3+2cosx)dx

    Text Solution

    |

  10. Evaluate: int(pi//4)^(pi//2)cos2xlogsinxdx

    Text Solution

    |

  11. integrate int0^(2pi) sin (pi/4 + x/2) dx

    Text Solution

    |

  12. Evaluate: int1^2 1/((x+1)(x+2))dx (ii) int1^2 1/(x(1+x^2))dx

    Text Solution

    |

  13. Evaluate:(i) int0^(pi//6)(2+3x^2)dx

    Text Solution

    |

  14. Evaluate: int0^4 1/(x+sqrt(x))dx (ii) int0^1(2x)/(5x^2+1)dx

    Text Solution

    |

  15. Evaluate the following definite integrals (1-58): int1^2 1/(sqrt((x...

    Text Solution

    |

  16. If (x) is of the form f(x)=a+b x+c x^2, show that int0^1f(x)d...

    Text Solution

    |

  17. Evaluate: int0^oo1/((x^2+a^2)(x^2+b^2))dxdot

    Text Solution

    |

  18. Evaluate the following integrals: int0^(pi//6)cos^(-3)2thetasin2th...

    Text Solution

    |

  19. Evaluate the following integrals: int0^((pi)^(2//3))sqrt(x)cos^2x^(...

    Text Solution

    |

  20. Evaluate the following integrals: int0^1(24x^3)/((1+x^2)^4)dx

    Text Solution

    |