Home
Class 12
MATHS
If 0 le alpha le 2pi and int(0)^(alpha)c...

If `0 le alpha le 2pi` and `int_(0)^(alpha)cos x dx = cos 2alpha`, the : `alpha =`

A

`(pi)/(6)`

B

`(pi)/(3)`

C

`(pi)/(2)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS (MHT-CET EXAM QUESTIONS))|12 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

Similar Questions

Explore conceptually related problems

int(cos2x-cos2 alpha)/(cos x-cos alpha)dx

Evaluate int_(0)^(pi)(x dx)/(1+cos alpha sin x) ,where 0lt alpha lt pi .

int(cos alpha)/(sin x cos(x-alpha))dx=

int ((cos 2x - cos 2 alpha))/((cosx -cos alpha)) dx = ?

If 0 lt alpha, beta lt pi and they satisfy cos alpha + cosbeta - cos(alpha + beta)=3/2

If 0 le alpha, beta le 90^(@) and tan(alpha+beta)=3 and tan(alpha-beta)=2, then value of cos 2 beta is :

int_(0)^( pi)(xdx)/(1+cos alpha*sin alpha)(0

Evaluate: int(cos2x-cos2 alpha)/(cos x-cos alpha)dx

Evaluate: int(cos2x-cos2 alpha)/(cos x-cos alpha)dx

MARVEL PUBLICATION-INTEGRATION - DEFINITE INTEGRALS -MULTIPLE CHOICE QUESTIONS (PART - B : Mastering The BEST)
  1. int(-pi)^(pi)(1-x^(2))sin x cos^(2)x dx=

    Text Solution

    |

  2. If {:(f(x)=x", ...."x lt 1),(" "=x-1", ...." x ge 1","):} ...

    Text Solution

    |

  3. If 0 le alpha le 2pi and int(0)^(alpha)cos x dx = cos 2alpha, the : al...

    Text Solution

    |

  4. int(-2)^(3)[cot^(-1)((x-1)/(x+1))+cot^(-1)((x+1)/(x-1))]dx=

    Text Solution

    |

  5. If f(x)+f(pi-x)=1 and g(x)+g(pi-x)=1, then : int(0)^(pi)[f(x)+g(x)]dx=

    Text Solution

    |

  6. int(0)^(pi//2)(1)/(sqrt(tan x)-sqrt(cot x))dx=

    Text Solution

    |

  7. If int(-3)^(2)f(x)dx=2 and int(2)^(5)[5+f(x)]dx=9, then : int(5)^(-3)f...

    Text Solution

    |

  8. If (d)/(dx)[g(x)]=f(x), then : int(a)^(b)f(x)g(x)dx=

    Text Solution

    |

  9. If int(0)^(1)f(x)dx=1, int(0)^(1)x f(x)dx=a and int(0)^(1)x^(2)f(x)dx=...

    Text Solution

    |

  10. If int(0)^(a)(1)/(1+4x^(2))dx=(pi)/(8), then a =

    Text Solution

    |

  11. int(0)^(pi//2)((pi)/(4)-x)/(sqrt(sin x)+ sqrt(cos x))dx=

    Text Solution

    |

  12. int(-pi//2)^(pi//2)sin (|x|)dx=

    Text Solution

    |

  13. int(-pi//2)^(pi//2)(1)/(1+e^(sin x))dx=

    Text Solution

    |

  14. The value of the definite integral int0^1(1/(x^2+2xcosalpha+1))dx for ...

    Text Solution

    |

  15. If int(0)^(a)(g(x))/(f(x)+f(a-x))dx=0, then

    Text Solution

    |

  16. int(1)^(e )x^(x)dx+ int(1)^(e )x^(x)log x dx=

    Text Solution

    |

  17. If I(1)=int(0)^(pi//2) x sin x dx and I(2) = int(0)^(pi//2) x cos x d...

    Text Solution

    |

  18. int(-10)^(10)log((a+x)/(a-x))dx=

    Text Solution

    |

  19. int(0)^(1)(dx)/([ax+(1-x)b]^(2))=

    Text Solution

    |

  20. If int(0)^(1)(dx)/((1+x)sqrt(1-x^(2)))=(a)/(b), then

    Text Solution

    |