Home
Class 12
MATHS
int(0)^(pi//3) [sqrt(3)tanx]dx=...

`int_(0)^(pi//3) [sqrt(3)tanx]dx=`

A

`(5pi)/(6)`

B

`(5pi)/(6)-tan^(-1)((2)/(sqrt(2)))`

C

`(pi)/(2)-tan^(-1)((2)/(sqrt(2)))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 2|56 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|143 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

The value of the definite integral int_(0)^(pi//3) ln (1+ sqrt3tan x )dx equals

int_(0)^(pi//6) sqrt(1-sin 2x) dx

Prove that : int_(0)^(pi//2) (sqrt(tanx))/(sqrt(tanx +sqrt(cotx)))dx=(pi)/(4)

If int_(0)^(pi//4)[sqrt(tanx)+sqrt(cotx)]dx=(pi)/(sqrtm), then the value of m is equal to

int_(0)^( pi/4)tan^(3)dx

The value of int_(0)^(32pi//3) sqrt(1+cos2x)dx is

The value of int_(0)^((pi)/(3))log(1+sqrt3 tanx)dx is equal to

Evaluate of each of the following integral: int_(pi//6)^(pi//3)1/(1+sqrt(tanx))dx

Evaluate int_(0)^(pi//4)In(1+tanx)dx

Prove the following : 1 lt int_(0)^(pi//2)sqrt(sinx)dx lt sqrt(pi/2)

OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Chapter Test 1
  1. If f(x)=ae^(2x)+be^(x)+cx, satisfies the conditions f(0)=-1, f'(log 2)...

    Text Solution

    |

  2. int pi^(2pi)[sqrt(2)cosx]dx=

    Text Solution

    |

  3. int(0)^(pi//3) [sqrt(3)tanx]dx=

    Text Solution

    |

  4. int(3pi//2)^(5pi//3) [2cos x]dx=

    Text Solution

    |

  5. int(0)^(50pi)| cos x|dx=

    Text Solution

    |

  6. The values of 'a' for which int0^(a) (3x^(2)+4x-5)dx lt a^(3)-2 are

    Text Solution

    |

  7. If (-1,2) and and (2,4) are two points on the curve y=f(x) and if g(x)...

    Text Solution

    |

  8. If I(1)=int(1-x)^(x) x sin{x(1-x)}dx and I(2)=int(1-x)^(x) sin{x(1-x)}...

    Text Solution

    |

  9. If int(-pi//3)^(pi//3) ((a)/(3)|tan x|+(b tan x)/(1+sec x)+c)dx=0 wher...

    Text Solution

    |

  10. Estimate the absolute value of the integral int(10)^(19)(sinx)/(1+x^8)...

    Text Solution

    |

  11. The smallest interval [a,b] such that int0^(1) (1)/(sqrt(1+x^(4)))dx...

    Text Solution

    |

  12. Let I(n)=int(0)^(pi//2) sin^(n)x dx, nin N. Then

    Text Solution

    |

  13. If f(x)=int(0)^(x) sin^(4)t dt, then f(x+2pi) is equal to

    Text Solution

    |

  14. int(0)^(pi)(dx)/(1+3^(cos x)) is equal to:

    Text Solution

    |

  15. Let int(0)^(a)f(x)dx = lambda and int(0)^(a)f(2a-x)dx=mu. Then int(0)^...

    Text Solution

    |

  16. Evaluate : int((pi)/(4))^((3pi)/(4))(x)/(1+sinx)dx

    Text Solution

    |

  17. Let I(n)=int(0)^(pi//2) cos^(n)x cos nx dx. Then, I(n):I(n+1) is equal...

    Text Solution

    |

  18. The value of int(-1)^(1) max[2-x,2,1+x] dx is

    Text Solution

    |

  19. int(0)^(pi//4) sin(x-[x]) dx is equalto

    Text Solution

    |

  20. The value of the integral int(-1)^(1) (x-[2x])dx,is

    Text Solution

    |