Home
Class 12
MATHS
The value of the integral I = int(0)^(pi...

The value of the integral `I = int_(0)^(pi/4)[sin x + cos x] (cos x - sin x) dx` is equal to (where, [.] denotes the greatest integer function)

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

The value of the integral int_(0)^(pi//2) |sin x-cos x|dx , is

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

int_(0)^(pi//2) x sin x cos x dx

the value of int_(0)^([x]) dx (where , [.] denotes the greatest integer function)

The value of int_-1^10 sgn (x -[x])dx is equal to (where, [:] denotes the greatest integer function

The value of int_0^([x]) 2^x/(2^([x])) dx is equal to (where, [.] denotes the greatest integer function)

Period of f(x) = sin 3x cos[3x]-cos 3x sin [3x] (where[] denotes the greatest integer function), is

The value of I = int_(-1)^(1)[x sin(pix)]dx is (where [.] denotes the greatest integer function)

Draw the graph of [y] = sin x, x in [0,2pi] where [*] denotes the greatest integer function

If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi] , (where ,[.] denotes th greatest integer function ), then

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. For a function f:AtoB such that n(A)=a,n(B)=b(a,b in N) then which of ...

    Text Solution

    |

  2. If f(x)=x^(3)+3x+1 and g(x) is the inverse function of f(x), then the ...

    Text Solution

    |

  3. The value of the integral I = int(0)^(pi/4)[sin x + cos x] (cos x - si...

    Text Solution

    |

  4. Three a's, three b's and three c's are placed randomly in 3xx3 matr...

    Text Solution

    |

  5. if""I1=int(-a)^(2a)(xdx)/(x^2+p^2),I2=inta^(2a)(xdx)/(x^2+p^2) then fi...

    Text Solution

    |

  6. From a point P outside a circle with centre at C, tangents PA and PB a...

    Text Solution

    |

  7. If alphaa n dbeta are roots of equation x^2-7x+1=0, then the value of ...

    Text Solution

    |

  8. Consider the expansion of (sqrt(x)-(2)/(x^(2)))^(16)

    Text Solution

    |

  9. If the roots of the equation (a^2+b^2)x^2-2(a c+b d)x+(c^2+d^2)=0 are ...

    Text Solution

    |

  10. If z1, z2, z3 are 3 distinct complex numbers such that 3/|z2-z3|-4/|...

    Text Solution

    |

  11. int(x^2+2)/(x^4+4)dx is equal to (a) 1/2tan^(-1)((x^2-2)/(2x))+c (b...

    Text Solution

    |

  12. Consider the digits in set S=(1,2,3,4). All four-digit number formed u...

    Text Solution

    |

  13. If n(AuuBuuC)+(AuuBuuC)^'=50 ,n(A)=10 ,n(B)=15 , n(C)=20 ,n(AnnB)=5, n...

    Text Solution

    |

  14. Four cards are drawn successively with replacement from a well shuffle...

    Text Solution

    |

  15. If n(A)=4a n dn(B)=7 , then the minimum and maximum values of n(AuuB)...

    Text Solution

    |

  16. Let p=2520, x=number of divisors of p which are multiple of 6, y=numbe...

    Text Solution

    |

  17. Find the value of cos 12^(@)+cos 84^(@)+cos 156^(@)+cos 132^(@)

    Text Solution

    |

  18. The relation R is such that a R b |a|geq|b| (1)Reflexive, not symmetr...

    Text Solution

    |

  19. Let Aa n dB be two events such that P(A)=0. 3 ,P(B)=0. 4a n dP(A^(prim...

    Text Solution

    |

  20. If f(theta) = (sin theta + cossec theta)^(2) + (cos theta + sec theta)...

    Text Solution

    |