Home
Class 12
MATHS
The value of the integral int(-pi//2)^(p...

The value of the integral `int_(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi+x)) cos x dx `

A

0

B

`(pi^(2))/(2)-4`

C

`(pi^(2))/(2)+4`

D

`(pi^(2))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|5 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

The value of the integral int_(-pi//2)^(pi//2) (x^(2)+ln'(pi+x)/(x-a)) cosx dx is

The value of the integral int_(-(pi)/(2))^((pi)/(2))(x^(2)+ln((pi+x)/(pi-x)))cos xdx is

Value of the integral int _(-pi//2)^(pi//2) cos x dx is

The value of the integral int_(pi//2)^(pi//2)(x^2ln(pi+x)/(pi-x))cosx\ dx is a. 0 b. (pi^2)/2-4 c. (pi^2)/2+4 d. (pi^2)/2

The value of the integral int_(-pi//2)^(pi//2) sin^(4) x (1+ log ((2+ sinx)/( 2- sin x))) dx is

The value of the integral int_(-pi//2)^(pi//2) sqrt((1+cos^(2)x)/(2))dx is

The value of the integral int_(-pi//2)^(pi//2)(sin^(2)x)/(1+e^(x))dx is

The value of the integral int_(-pi//2)^(pi//2) sqrt(cos -cos^(2)x)dx is

ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Match List I with List II and select the correct answer using codes gi...

    Text Solution

    |

  2. The value of int0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dxi s

    Text Solution

    |

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

    Text Solution

    |

  4. The value of int(sqrt(ln2))^(sqrt(ln3)) (xsinx^2)/(sinx^2+sin(ln6-x^2)...

    Text Solution

    |

  5. Let f:[1,oo] be a differentiable function such that f(1)=2. If int1...

    Text Solution

    |

  6. The value of int(0)^(1) (x^(4)(1-x)^(4))/(1+x^(2)) dx is (are)

    Text Solution

    |

  7. For a in R ( the set of all real number) , a ne -1, lim(n to oo)((1^...

    Text Solution

    |

  8. Consider the statements : P : There exists some x IR such that f(x)...

    Text Solution

    |

  9. Which of the following is true?

    Text Solution

    |

  10. For any real number x ,l e t[x] denote the largest integer less than o...

    Text Solution

    |

  11. Let f be a non-negative function defined on the interval .[0,1].If int...

    Text Solution

    |

  12. If In=int(-pi)^(pi) \ (sinnx)/((1+pi^x) \ sinx) \ dx, n=0,1,2,...... t...

    Text Solution

    |

  13. Let Sn=sum(k=0)^n n/(n^2+k n+k^2) and Tn=sum(k=0)^(n-1)n/(n^2+k n+k...

    Text Solution

    |

  14. The Integral int(pi/4)^((3pi)/4)(dx)/(1+cosx) is equal to: ...

    Text Solution

    |

  15. Let In=int tan^n x dx, (n>1). If I4+I6=a tan^5 x + bx^5 + C, Where C...

    Text Solution

    |

  16. lim(n rarr infty ) [((n+1)(n+2)...3n)/(n^(2n))]^(1//n) is equal to

    Text Solution

    |

  17. The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...

    Text Solution

    |

  18. The integral int(0)^(pi) sqrt(1+4 sin )(x)/(2) -4 "sin" (x)/(2) dx is...

    Text Solution

    |

  19. Statement I The value of the integral int(pi//6)^(pi//3) (dx)/(1+sqrt...

    Text Solution

    |

  20. The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...

    Text Solution

    |