Home
Class 12
MATHS
The value of int 0^(2npi)[sin x+cosx]dx ...

The value of `int _0^(2npi)[sin x+cosx]dx` is equal to

A

`(-npi)

B

`npi`

C

`(-2npi)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY & DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|13 Videos

  • DETERMINATES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^((pi)/(2))x sin x dx is equal to -

The value of int_(0)^(pi)log sin^(2)x dx is equal to -

Evaluate : int _(0)^(pi)(sin x+cosx)dx

The value of int_(0)^(pi) (dx)/(5+3 cosx) is -

The value of int_(0)^(pi)|cosx|dx is

The value of int_(0)^((pi)/(2))log(tan x)dx is equal to -

The value of int e^(x)((2+sin2x)/(1+cos2x))dx is equal to -

The value of int (sinx)/(sin(x-a)) dx is equal to -

The value of int(dx)/(sin x cos x) is equal to -

The value of the integral int_(0)^(2pi)(sin x+|sin x|)dx is equal to -

PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. suppose for every integer n, intn^(n+1)f(x)dx=n^2then the value of int...

    Text Solution

    |

  2. Evaluate: underset(nrarrinfty)lim (1/(n+1)+1/(n+2)+....+1/(2n))

    Text Solution

    |

  3. The value of int 0^(2npi)[sin x+cosx]dx is equal to

    Text Solution

    |

  4. the value ofint (pi/2)^(3pi/2)[2sinx]dx, is [.] greatest integer funct...

    Text Solution

    |

  5. ifint0^1 f(x)dx=1,int0^1 xf(x)dx=a and int0^1 x^2f(x)dx=a^2 ,then int0...

    Text Solution

    |

  6. if f(x)=-int0^xlog(cost)dt, then the value of f(x)-2f(pi/4+x/2)+2f(pi/...

    Text Solution

    |

  7. if int0^(pi)(x/(1+sinx))^2dx=A, then int0^(pi)((2x^2).(cos^2(x/2)))/(1...

    Text Solution

    |

  8. If intsin^4x/(cos^8x)dx= atan^7x+btan^5x+c then find the relation betw...

    Text Solution

    |

  9. The value of x satisfying int0^(2[x+14]){x/2}dx=int0^({x})[x+14]dxis e...

    Text Solution

    |

  10. if ngt1and I=int0^infty dx/((x+sqrt(1+x^2))^n then I equals

    Text Solution

    |

  11. If [x] denotes the greatest integer lex and n inN then value of In=int...

    Text Solution

    |

  12. if I=int0^1dx/((1+x)(2+x)sqrtx(1-x)then I equals

    Text Solution

    |

  13. if int0^1 x(1-x)^(2007//2)dx then it equals

    Text Solution

    |

  14. if I=int(-1)^2abs(xsinpix)dx then I equals

    Text Solution

    |

  15. if I=int(alpha)^(beta)[loglogx+1/(logx)^2]dx then I equals

    Text Solution

    |

  16. if I=int0^(pi/4) (sin2theta)/(sin^2theta+cos^4theta)d(theta) then I eq...

    Text Solution

    |

  17. if 0ltalphalt1 and I=int(-1)^1dx/(sqrt(1-2alphax+alpha^2) then I equal...

    Text Solution

    |

  18. if I=int8^15 dx/((x-3)sqrt(x+1)) then I equals

    Text Solution

    |

  19. underset(xrarr(pi//4))lim( int2^(sec^2x)(f(t)dt))/(x^2-(pi)^2/16 equal...

    Text Solution

    |

  20. If int1^infty((x^3+3)dx)/(x^6(x^2+1))=(a+bpi)/c, then

    Text Solution

    |