Home
Class 12
MATHS
If n=2m+1,m in N uu {0}, then int0^(pi/2...

If `n=2m+1,m in N uu {0},` then `int_0^(pi/2)(sin nx)/(sin x) dx` is equal to (i) `pi` (ii) `pi/2` (iii) `pi/4` (iv) none of these

A

`pi`

B

`pi//2`

C

`pi//4`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

int_(0)^( pi)(sin nx)/(sin x)dx is equal to

int_(0)^(2 pi)(sin x+|sin x|)dx is equal to

int _(0)^(2pi) (sin x + |sin x|)dx is equal to

int_(0)^(2pi) (sin x-|sin x|) dx equal to

For any n in N, int_(0)^(pi) (sin (2n+1)x)/(sinx)dx is equal to

If n is an integer, then int_(0)^(pi)(sin 2nx)/(sin x)dx=

For any n in N, int_(0)^(pi) (sin^(2)nx)/(sin^(2)x)dx is equal to

int_0^(2pi) sin^5 (x/4) dx is equal to

For any n in N,int_(0)^( pi)(sin^(2)(nx))/(sin^(2)x)dx is equal to

FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
  1. If int (0) ^(y) cos t ^(2) dt= int (0) ^(x ^(2)) (sint)/(t ) dt then ...

    Text Solution

    |

  2. If tan theta.tan phi = sqrt ((a -b)/(a +b)), then (a -b cos 2 theta)(...

    Text Solution

    |

  3. If n=2m+1,m in N uu {0}, then int0^(pi/2)(sin nx)/(sin x) dx is equal ...

    Text Solution

    |

  4. The set of values of x, for which (tan 3x - tan 2x)/(1+tan 3x tan 2x)=...

    Text Solution

    |

  5. For 0 lt theta lt pi/2, the solutions of sigma(m-1)^(6)"cosec"(theta+(...

    Text Solution

    |

  6. The root(s) of the expression 2sin^2 theta + sin^2 2theta=2 is

    Text Solution

    |

  7. Minimum value of sec ^(2) theta + cos ^(2) theta is

    Text Solution

    |

  8. If 1+sin x + sin^(2)x +….oo = 4 + 2sqrt(3), 0 lt x lt pi, x ne pi//2 t...

    Text Solution

    |

  9. Consider two points A = (-3, 0) and B = (0,4). If a point P on the li...

    Text Solution

    |

  10. If the family of lines lambdax + 3y - 6 = 0 (lambda is variable) inter...

    Text Solution

    |

  11. A line makes intercepts a and b with the coordinate axes. If the co...

    Text Solution

    |

  12. Distance of origin from the line (1+sqrt3)y+(1-sqrt3)x=10 along the li...

    Text Solution

    |

  13. A line passes through (1,0). The slope of the line, for which its inte...

    Text Solution

    |

  14. Consider the line passing through (sqrt 3,1) and (1,sqrt3) Then num...

    Text Solution

    |

  15. Let L(1)=0and L(2) =0 be two intarecting straight lines. Then the numb...

    Text Solution

    |

  16. If x + y = a and x + 2y = 2a are the adjacent sides of a rhombus whose...

    Text Solution

    |

  17. If the lines 2x + 3y = 8, 5x-6y + 7 = 0 and px + py = 1 are concurrent...

    Text Solution

    |

  18. The lines joining the points of intersection of the curve 5x^2 + 12xy ...

    Text Solution

    |

  19. Let A, B, C be three points in a straight line. B lying between A and ...

    Text Solution

    |

  20. The equation of the circle which cuts the circel x ^(2) +y ^(2) = a ^(...

    Text Solution

    |