Home
Class 12
MATHS
Ifint0^1cot^(-1)(1-x+x^2)dx=lambdaint0^1...

`Ifint_0^1cot^(-1)(1-x+x^2)dx=lambdaint_0^1tan^(-1)x dx ,then lambda is equal to` 1 (b) 2 (c) 3 (d) 4

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

Ifint_0^1cot^(-1)(1-x+x^2)dx=lambdaint_0^1tan^(-1)x dx ,t h e nlambdai se q u a lto 1 (b) 2 (c) 3 (d) 4

If int_(0)^(1) cot^(-1)(1-x+x^(2))dx=k int_(0)^(1) tan^(-1)x dx , then k=

int_(0)^(1) ( tan^(-1)x)/( 1+x^(2)) dx is equal to

Let J=int_(0)^(1)cot^(-1)(1-x+x^(2))dx and K= int_(0)^(1)tan^(-1)xdx .If J=lambda K (lambda in N) , then lambda equals

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

int (dx)/sqrt(1-tan^2 x)=1/lambda sin^-1 (lambdasinx)+C ,then lambda=

If 2int_0^1 tan^(-1)x dx= int_0^1 cot^(-1)(1-x+x^2) dx then int_0^1 tan^(-1)(1-x+x^2) dx=

sin(tan^(-1)99 + cot^(-1)99) is equal to a) 0 b) -1 c) 1/2 d) 1

Prove that int_0^1tan^(-1)(1/(1-x+x^2))dx=2int_0^1tan^(-1)x dx . Hence or otherwise, evaluate the integral int_0^1tan^(-1)(1-x+x^2)dx

Prove that int_0^1tan^(-1)(1/(1-x+x^2))dx=2int_0^1tan^(-1)x dxdot Hence or otherwise, evaluate the integral int_0^1tan^(-1)(1-x+x^2)dx

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. Suppose that F(x) is an anti derivative of f(x)=(sinx)/x, where xgt0. ...

    Text Solution

    |

  2. Evaluate: int(-pi)^pi(xsinx dx)/(e^x+1)

    Text Solution

    |

  3. Ifint0^1cot^(-1)(1-x+x^2)dx=lambdaint0^1tan^(-1)x dx ,then lambda is e...

    Text Solution

    |

  4. Show that int0^(pi/2)sqrt((sin2theta))sintheta d theta=pi/4

    Text Solution

    |

  5. The number of positive continuous f(x) defined in [0,1] for with I(1)=...

    Text Solution

    |

  6. int 0^(pi/2) (sin^2x)/(sinx+cosx)dx

    Text Solution

    |

  7. The value of the definite integral int0^(pi/2)sqrt(tanx)dx is sqrt(...

    Text Solution

    |

  8. For theta in (0,pi/2), prove that int0^theta"log"(1+tanthetatanx)dx=th...

    Text Solution

    |

  9. A function f is defined by f(x)=1/(2^(r-1)),1/(2^r)ltxlt=1 (2^(r-1)),...

    Text Solution

    |

  10. Evaluate int0^1(dx)/((5+2x-2x^2)(1+e^(2-4x))) dx

    Text Solution

    |

  11. If P(x) is a polynomial of the least degree that has a maximum equal t...

    Text Solution

    |

  12. Evaluate: int0^pixlogsinxdx

    Text Solution

    |

  13. The value of the definite integral int0^(sqrt(1n(pi/2)))cose^(x^(2)...

    Text Solution

    |

  14. Evaluate: int0^(π/2)cos2x+4sin2x cos2xdx

    Text Solution

    |

  15. T h ev a l u eofint1^((1+sqrt(5))/2)(x^2+1)/(x^4-x^2+1)log(1+x-1/x)dxi...

    Text Solution

    |

  16. If f(x) is a function satisfying f(x+a)+f(x)=0 for all x in R and pos...

    Text Solution

    |

  17. If f(x) is monotonic differentiable function on [a , b] , then int...

    Text Solution

    |

  18. Find the value of : int0^(10)e^(2x-[2x])d(x-[x])w h e r e[dot] denote...

    Text Solution

    |

  19. The range of the function f(x)=int(-1)^1(sinxdt)/((1-2tcosx+t^2) is

    Text Solution

    |

  20. L e tA=int0^oo(logx)/(1+x^3)dx Then find the value of int0^oo(xlogx)/(...

    Text Solution

    |