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

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

A

0

B

1

C

2

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise ProblemSet (3) True and False|1 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise Problem Set (3) Fill in the blanks|1 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise ProblemSet (2) Fill in the blanks|1 Videos

  • CORRELATION AND REGRESSION

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos

  • DETERMINANTS

    ML KHANNA|Exercise Self Assessment Test |19 Videos

Similar Questions

Explore conceptually related problems

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

int _(-pi//2)^(pi//2) sin | x | dx is equal to

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

The value of l = int _(-pi//2)^(pi//2) | sin x | dx is

Read the following text and answer the followig questions on the basis of the same : int_(-pi//2)^(pi//2) sin^(3)x dx =

Prove that : (i) int_(-pi)^(pi) x^(10) sin^(7) x dx =0 (ii) int_(-pi)^(pi) (sin^(25) x+x^(75))dx=0 (iii) int_(-pi)^(pi) e^(|x|) dx= 2 (e-1) (iv) int_(-pi//2)^(pi//2) sin^(9) x dx =0

Find our value of I = int_(-pi//2)^(pi//2) sin 2x dx :

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

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

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

ML KHANNA-DEFINITE INTEGRAL-Problem set (3) (Multiple Choice Questions)
  1. int(-1)^(1) (x sin^(-1)x)/(sqrt(1-x^(2))) dx=

    Text Solution

    |

  2. int(-1)^(1) (x^(2) sin^(-1) [x])/(sqrt""(1-x^(2)))dx=

    Text Solution

    |

  3. int(-pi//2)^(pi//2) sin (|x|)dx=

    Text Solution

    |

  4. int(-pi)^(pi) (x^(3) + x cos x+ tan^(5) x +2)=

    Text Solution

    |

  5. int(-pi)^(pi) (2x(1+ sinx))/(1+ cos^(2))dx is

    Text Solution

    |

  6. overset(-pi//2)underset(-3pi//2)int{(x+pi)^(3)+cos^(2)(x+3pi)}dx, is

    Text Solution

    |

  7. Evaluate: int0^pi(xsin2xsin(pi/2cosx))/(2x-pi)dx

    Text Solution

    |

  8. Evaluate the following definite integral: int(-sqrt(2))^(sqrt(2))(2...

    Text Solution

    |

  9. The value of int(-2)^(2) (ax^(3) + bx+ c) dx depends on which followin...

    Text Solution

    |

  10. If f(x)= ax^(2) +bx +c such that f(0)=2 f'(0)= -3, f''(0) =4, then int...

    Text Solution

    |

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

    Text Solution

    |

  12. The value of the integral int(-1//2)^(1//2) cos x log ((1+x)/(1-x)) dx

    Text Solution

    |

  13. The integral value of int(-2)^(0) [x^(3)+3x^(2) +3x +3+ (x+1) cos (x+1...

    Text Solution

    |

  14. The value of the integral int(-pi//4)^(pi//4) (1)/(sin^(4) x) dx is

    Text Solution

    |

  15. The value of the integral overset(1//2)underset(-1//2)int {((x+1)/(...

    Text Solution

    |

  16. The value of the integral int(-1)^(1) log (x+ sqrt(x^(2)+1)) dx is

    Text Solution

    |

  17. The value of overset(pi//2)underset(-pi//2)int sin{log(x+sqrt(x^(2)+1)...

    Text Solution

    |

  18. int(log 1//2)^(log 2) sin {(e^(x)-1)/(e^(x) +1}dx=

    Text Solution

    |

  19. The value of overset(1//2)underset(-1//2)int |xcos((pix)/(2))|dx is

    Text Solution

    |

  20. The function F(x)= int(0)^(x) log (t+ sqrt(1+t^(2)))dt is

    Text Solution

    |