Home
Class 12
MATHS
int(0)^((pi)/(3))(tanx)/(sqrt(2ksecx))dx...

`int_(0)^((pi)/(3))(tanx)/(sqrt(2ksecx))dx=1-(1)/(sqrt2)`, then value of `k` is (a) `2` (b) `1` (c) `(1)/(2)` (d) `(1)/(4)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi/3) tantheta/(sqrt(2ksectheta))d theta=1-1/sqrt2,(kgt0) , then the value of k is

int_(0)^(pi//2)(dx)/(1+tanx) is

Evaluate int_(pi/6)^(pi/3)(dx)/(1+sqrt(tanx))

Evaluate : int_0^(pi/2)(dx)/(1+sqrt(tanx))

int_(0)^(pi//2) sqrt(1- cos 2x) dx

int_(0)^(pi//2) sqrt(1- cos 2x) dx

Prove that: int_0^(pi/4)(sqrt(tanx)+sqrt(cotx))\ dx=sqrt(2)pi/2

If int( 2^(x))/( sqrt( 1- 4^(x))) dx = k sin^(-1) ( 2^(x)) + C , then the value of k is

Evaluate: int_(pi/6)^(pi/3)(dx)/(1+sqrt(tanx))

The value of int_0^(pi/2) (dx)/(1+tan^3 x) is (a) 0 (b) 1 (c) pi/2 (d) pi

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. Let z(0) be a root of the quadratic equation x^(2) + x + 1 = 0. If z =...

    Text Solution

    |

  2. let veca=hati+hatj+sqrt2hatk vecb=b1hati+b2hatJ+sqrt2hatk vecc=5hati+...

    Text Solution

    |

  3. int(0)^((pi)/(3))(tanx)/(sqrt(2ksecx))dx=1-(1)/(sqrt2), then value of ...

    Text Solution

    |

  4. Find number of solution of equation sinx-sin2x+sin3x=0 in 0lexle(pi)/(...

    Text Solution

    |

  5. Find area enclosed by curve 0leylex|x|+1 between -1lexle1 (a) ...

    Text Solution

    |

  6. Find the value of lim(xrarr0)(x(([x]+|x|)sin[x]))/(|x|). (a) -...

    Text Solution

    |

  7. Let y=y(x) is a solution of (dy)/(dx)=f(x) where f(xy)=f(x)f(y) AA x,y...

    Text Solution

    |

  8. If A(4,-4) and B(9,6) lies on y^2=4x and a point C on arc AOB(O= ori...

    Text Solution

    |

  9. If the circles x^2+y^2-16x-20y+164=r^2 and (x-4)^2+(y-7)^2=36 intersec...

    Text Solution

    |

  10. Find the eccetricity of hyperbola through (4,2) whose centre is (0,0)...

    Text Solution

    |

  11. If x=3tant and y=3sect then find (d^2y)/(dx^2) at x=(pi)/(4) (...

    Text Solution

    |

  12. Let A={x:xepsilonR-{1}}f is defined from ArarrR as f(x)=(2x)/(x-1) the...

    Text Solution

    |

  13. Let a,b,c are 7^(th), 11^(th) and 13^(th) terms of constant A.P if a,b...

    Text Solution

    |

  14. Let real and distinct roots of equation x^2-mx+4=0 lies in [1,5] then ...

    Text Solution

    |

  15. If x=sin^-1(sin10) and y=cos^(-1)(cos10), then the value of (y-x) is ...

    Text Solution

    |

  16. Matrix=[[e^t,e^-t(sint-2cost),e^-t(-2sint-cost)],[e^t,-e^-t(2sint+cost...

    Text Solution

    |

  17. If |f(x)-f(y)|le2|x-y|^((3)/(2)) AAx,yinR and f(0)=1 then value of int...

    Text Solution

    |

  18. Let I=inta^b (x^4−2x^2)dx for (a,b) which given integration is minimum...

    Text Solution

    |

  19. Let y(x) be the solution of the differential equation (dy)/(dx)+(3y)/(...

    Text Solution

    |

  20. A coin is tossed if head turns up then pair of dice is thrown and sum ...

    Text Solution

    |