Home
Class 12
MATHS
The value of the integral int(pi//3)^(...

The value of the integral `int_(pi//3)^(pi//2)x sin(pi[x]-x)dx` is (where `[x]` denotes greater integer function)
a. `1/2+pi/6`
b. `-1/2-pi/6`
c. `1-(sqrt(3))/2+pi/6`
d. `(sqrt(3))/2-1-pi/6`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

int_(pi//6)^(pi//3) sin(3x)dx=

The value of the integral int_(-pi/2)^(pi//2) sqrt((1+cos2x)/(2))dx is

The value of the integral int_(pi//6)^(pi//3)(dx)/(1+tan^(5)x) is

The value of int_(-pi//2)^(pi//2)[ cot^(-1)x] dx (where ,[.] denotes greatest integer function) is equal to

Evaluate: int_(-pi/2)^(2pi)[cot^(-1)x]dx , where [dot] denotes the greatest integer function

The value of int_(pi//6)^(pi//3) (1)/( sin 2x) dx is

The value of int_(-pi//2)^(pi//2) sin{log(x+sqrt(x^(2)+1)}dx is

Evaluate the following integral: int_(-3pi//2)^(-pi//2){sin^2(3pi+x)+(pi+x)^3}dx

Evaluate the following integral: int_(pi//6)^(pi//3)1/(1+cot^(3//2)x)dx

Evaluate the following integral : int_pi^(3pi//2)sqrt(1-cos)\ 2x\ dx

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The set of values of lambda for which the vectors vec a=(lambda(log)2...

    Text Solution

    |

  2. If z1,z2,z3,z4 be the vertices of a parallelogram taken in anticlockwi...

    Text Solution

    |

  3. The value of the integral int(pi//3)^(pi//2)x sin(pi[x]-x)dx is (whe...

    Text Solution

    |

  4. If z1, z2, z3 are distinct nonzero complex numbers and a ,b , c in R^...

    Text Solution

    |

  5. Consider I1=int0^(pi//4)e^(x^2)dx ,I2=int0^(pi//4)e^x dx ,I3=int0^(pi/...

    Text Solution

    |

  6. lim(xto0)(sinx^(4)-x^(4)cosx^(4))/(x^(4)(e^(2x^(4))-1-2x^(4))) is

    Text Solution

    |

  7. IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,bn=int0^(pi/2)((sinn x)/(sinx))...

    Text Solution

    |

  8. If A , B ,C are angles of a triangles, then the value of e^(2i A)e^(-i...

    Text Solution

    |

  9. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

    Text Solution

    |

  10. Statement-1 : Let z be a complex number satisfying |z-3|lt=|z-1|,|z-3|...

    Text Solution

    |

  11. If 0ltaltbltc and the roots alpha,beta of equation a"" x^2+b""x+c="0 a...

    Text Solution

    |

  12. If a^2+b^2=1t h e n(1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+i b

    Text Solution

    |

  13. The graph of the function y=cos xcos(x+2)-cos^2(x+1) is: (A) &n...

    Text Solution

    |

  14. If in a triangle A B C ,(a+b+c)(b+c-a)=kdotb c ,t h e n:

    Text Solution

    |

  15. A round balloon of radius r subtends an angle at the eye of the observ...

    Text Solution

    |

  16. If f^(prime)(1)=-2sqrt(2) and g^(prime)(sqrt(2))=4 , then the derivati...

    Text Solution

    |

  17. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)= alpha " and...

    Text Solution

    |

  18. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec axx...

    Text Solution

    |

  19. The fourth term of the sequence 1/(1+sqrt(x)),1/(1-x),1/(1-sqrt(x)), ...

    Text Solution

    |

  20. At the point P (a,a^(n)) on the graph of y=x^(n),(n in N), in the firs...

    Text Solution

    |