Home
Class 12
MATHS
int1^(sqrt(3))1/(1+x^2)dx is equal to a....

`int_1^(sqrt(3))1/(1+x^2)dx` is equal to a. `pi/(12)` b. `pi/4` c. `pi/6` d. `pi/3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    RD SHARMA ENGLISH|Exercise All Questions|282 Videos

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

Similar Questions

Explore conceptually related problems

int_0^(pi//2)(sinx)/(sin x+cos x)dx equals to a. pi//2 b. pi//4 c. pi//3 d. pi

int_0^(pi//2)xsinx\ dx is equal to a. pi//2 b. pi//4 c. pi d. 1

int_0^(pi//2)1/(1+cot^3x)dx is equal to a 0 b. 1 c. pi//2 d. pi//4

int_0^(pi^2//4)(sinsqrt(x))/(sqrt(x))dx equals a. pi^2//8 b. pi//4 c. 2 d. 1

Choose the correct answer int_1^sqrt(3) (dx)/(1+x^2) equals(A) pi/3 (B) (2pi)/3 (C) pi/6 (D) pi/(12)

Choose the correct answer int1sqrt(3)(dx)/(1+x^2) equals (A) pi/3 (B) (2pi)/3 (C) pi/6 (D) pi/(12)

int_0^1d/(dx){sin^(-1)((2x)/(1+x^2))}dx is equal to 0 (b) pi (c) pi//2 (d) pi//4

int_0^21/(1+tanx)dx is equal to (pi^)/4 (b) (pi^)/3 (c) (pi^)/2 (d) pi

tan^(-1)sqrt(3)-sec^(-1)(-2) is equal to(a) pi (B) -pi/3 (C) pi/3 (D) (2pi)/3

If int_0^a1/(1+4x^2)dx=\ pi/8 , then a equals a. pi/2 b. pi/4 c. 1/2 d. 1

RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. Given that int0^oo(x^2)/((x^2+a^2)(x^2+b^2)(x^2+c^2))dx=pi/(2(a+b)(b+c...

    Text Solution

    |

  2. int1^elogx\ dx= a. 1 b. e-1 c. e+1 d. 0

    Text Solution

    |

  3. int1^(sqrt(3))1/(1+x^2)dx is equal to a. pi/(12) b. pi/4 c. pi/6 d. pi...

    Text Solution

    |

  4. The value of int0^(pi//2)cosx\ e^(sin x)dx\ i s a. 1 b. e-1 c. 0 d. -...

    Text Solution

    |

  5. If int0^a1/(1+4x^2)dx=\ pi/8 , then a equals a.pi/2 b. pi/4 c. 1/2 d. ...

    Text Solution

    |

  6. int0^1f(x)dx=1,\ int0^1xf(x)dx=a ,\ int0^1x^2f(x)dx=a^2,\ t h e n\ int...

    Text Solution

    |

  7. The value of int(-pi)^pisin^3xcos^2x\ dx\ is a.(pi^4)/2 b. (pi^4)/4 c...

    Text Solution

    |

  8. int(pi//6)^(pi//3)1/(sin2x)dx\ is equal to a. (log)e3 b. (log)"e"sqr...

    Text Solution

    |

  9. int(-1)^1|1-x|dx is equal to a.-2 b. 2 c. 0 d. 4

    Text Solution

    |

  10. int0^1x/((1-x)^(54))dx= a. 9(pi/2)^9 b. 10(pi/2)^9 c. (pi/2)^9 d....

    Text Solution

    |

  11. (lim)(n->oo){1/(2n+1)+1/(2n+2)++1/(2n+n)} a. I n\ (1/3) b. I n\ (2/3)...

    Text Solution

    |

  12. The value of the integral int(-2)^2|1-x^2|dx is a.4 b. 2 c. -2 d. 0

    Text Solution

    |

  13. int0^(pi//2)1/(1+cot^3x)dx is equal to a 0 b. 1 c. pi//2 d. pi//4

    Text Solution

    |

  14. int0^(pi//2)(sinx)/(sin x+cos x)dx equals to a. pi//2 b. pi//4 c. pi//...

    Text Solution

    |

  15. int0^(pi//2)xsinx\ dx is equal to a. pi//2 b. pi//4 c. pi d. 1

    Text Solution

    |

  16. int0^(pi//2)sin2xlogtanx\ dx\ is equal to a. pi//2 b. pi c. 0 d. 2pi

    Text Solution

    |

  17. The value of int0^pi1/(5+3cosx)dx is a. pi//2 b. pi//4 c. 0 d. pi...

    Text Solution

    |

  18. Evaluate:int0^oolog(x+1/x)(dx)/(1+x^2)

    Text Solution

    |

  19. int0^(2a)f(x)dx is equal to a.2int0^af(x)dx b. 0 c. int0^af(x)dx+...

    Text Solution

    |

  20. If f(a+b-x)=f(x),\ t h e n\ inta^b xf(x)dx is equal to a.(a+b)/2inta^...

    Text Solution

    |