Home
Class 12
MATHS
intx^(51)(tan^(- 1)x+cot^(- 1)x)dx=...

`intx^(51)(tan^(- 1)x+cot^(- 1)x)dx=`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

int\ (tan^(-1)x - cot^(-1)x)/(tan^(-1)x + cot^(-1)x) \ dx equals

The value of int_(0)^(1)(tan^(-1)x)/(cot^(-1)(1-x+x^(2)))dx is____.

If y=(tan^(-1)x-cot^(-1)x)/(tan^(-1)x+cot^(-1)x) , find ((dy)/(dx)])_(x=-1) 0 (b) 1 (c) 2//pi (d) -1

2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),w h e r ex in R-{-1,1}, is equal to (2x)/(1-x^2) t(2tan^(-1)x) tan(cot^(-1)(-x)-cot^(-1)(x)) "tan"(2cot^(-1)x)

int_(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

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

intx^3(1+x^2)^(1/3)dx

Prove that : 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x

Prove that tan^(-1) x + cot^(-1) (x+1) = tan ^(-1) (x^(2) + x+1) .

Prove that : tan^(-1) x + cot^(-1) (1+x) = tan^(-1) (1+x+x^2)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4cy...

    Text Solution

    |

  2. Let f(x+y) = f(x). F(y) for all x and y. Suppose f(5) = 2 and f'(0) = ...

    Text Solution

    |

  3. intx^(51)(tan^(- 1)x+cot^(- 1)x)dx=

    Text Solution

    |

  4. General solution of differential equation x^(2)(x+y(dy)/(dx))+(x(dy)/(...

    Text Solution

    |

  5. Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and...

    Text Solution

    |

  6. A bag contains 6 red and 5 blue balls and another bag contains 5 red ...

    Text Solution

    |

  7. Given that the two curves a r g(z)=pi/6 and |z-2sqrt(3)i|=r intersect ...

    Text Solution

    |

  8. The probability that a married man watches certain TV show is 0.4 and ...

    Text Solution

    |

  9. A ship is fitted with three engines E1,E2 and E3. The engines function...

    Text Solution

    |

  10. The coefficient of x^(301 ub the expansion of (1+x)^(500)+x(1+x)^(499)...

    Text Solution

    |

  11. A function y = f(x) satisfies the differential (dy)/(dx)*sin x -y co...

    Text Solution

    |

  12. The area bounded by x^2+y^2-2x=0a n dy=sinpi/2x in the upper half of t...

    Text Solution

    |

  13. Find the value of a if x^3-3x+a=0 has three distinct real roots.

    Text Solution

    |

  14. If alpha,beta are roots of x^2+-p x+1=0a n dgamma,delta are the roots ...

    Text Solution

    |

  15. Find the shortest distance between the lines (x+2)/(-4) = (y)/(1) = ...

    Text Solution

    |

  16. The equation of the normal to the curve x^2/a^2+y^2/b^2=1 at (acosthet...

    Text Solution

    |

  17. Statement 1 : Let the vertices of a A B C be A(-5,-2),B(7,6), and C(5...

    Text Solution

    |

  18. The number of solutions of the equation sin^2x+1=cosxAAx in [0,pi) is ...

    Text Solution

    |

  19. For x, the solution of [x+2]+[x-8]gt0 is ([.] is greatest integer func...

    Text Solution

    |

  20. If f(x)+2f(1-x)=x^2+2AAx in Rt h e nf(x) is given by ((x-2)^2)/3 2. ...

    Text Solution

    |