Home
Class 12
MATHS
The value of int0^((3pi)/2)(|tan^(-1)tan...

The value of `int_0^((3pi)/2)(|tan^(-1)tanx|-|sin^(-1)sinx|)/(|tan^(-1)tanx|+|sin^(-1)sinx|)dx` is equal to

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

inte^(tanx)(secx-sinx)dx is equal to

inte^(tanx)(secx-sinx)dx"is equal to"

Evaluate: int_0^(pi/2) (sin2x tan^(-1)(sinx))dx

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

The value of lim_(xto (pi)/2) sqrt((tanx-sin{tan^(-1)(tanx)})/(tanx+cos^(2)(tanx))) is ………..

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

Evaluate int_(0)^(pi//3)|(sin^(-1)sinx)/(cos^(-1)cosx)|dx

The value of lim_(x->0)((sinx-tanx)^2-(1-cos2x)^4+x^5)/(7(tan^(- 1)x)^7+(sin^(- 1)x)^6+3sin^5x) equal to :

int[1+tanx.tan(x+alpha)]dx is equal to

Evaluate: int_(-pi/2)^(2pi)sin^(-1)(sinx)dx

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. If int0^1 e^(x^2)(x-alpha)dx=0, then (a)alphalt2 (b)alphalt0 (c)"" 0l...

    Text Solution

    |

  2. int(5/2)^5(sqrt((25-x^2)^3))/(x^4)dx is equal to

    Text Solution

    |

  3. The value of int0^((3pi)/2)(|tan^(-1)tanx|-|sin^(-1)sinx|)/(|tan^(-1)t...

    Text Solution

    |

  4. Let f(0)=0a n dint0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)...

    Text Solution

    |

  5. The value of the integral int0^oo(xlogx)/((1+x^2)^2)dx ,is (a)0 (...

    Text Solution

    |

  6. int0^pi(xtanx)/(secx+cosx)dxi s (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2...

    Text Solution

    |

  7. Ifint(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equalto" 4 (b) ...

    Text Solution

    |

  8. The solution for x of the equation int(sqrt(2))^x(dt)/(tsqrt(t^2-1))=p...

    Text Solution

    |

  9. Which of the following is incorrect? int(a+ c)^(b+c)f(x)dx=inta^bf(x...

    Text Solution

    |

  10. The value f the integral int(-pi)^pisinm xsinn xdx , for m!=n(m , n in...

    Text Solution

    |

  11. int((e^x(2-x^2))/((1-x)sqrt(1-x^2))\ dx) is equal to

    Text Solution

    |

  12. int0^oo(pi/(1+pi^2x^2)-1/(1+x^2))logx dx is equal to (a) -pi/2logpi (...

    Text Solution

    |

  13. If f(x)="cos"(tan^(-1)x), then the value of the integral int0^1xf''(x)...

    Text Solution

    |

  14. The equation of the curve is y=f(x)dot The tangents at [1,f(1),[2,f(2...

    Text Solution

    |

  15. The value of int1^e((tan^(-1)x)/x+(logx)/(1+x^2))dx ,is (a) tane (b)...

    Text Solution

    |

  16. If f(pi) = 2 int0^pi (f(x)+f^(x)) sinx dx=5, then f(0) is equal to (it...

    Text Solution

    |

  17. If int1^2e^(x^2)dx=a ,t h e ninte^(e^4)sqrt(1n x)dx is equal to (a)...

    Text Solution

    |

  18. int(-pi/2)^(pi/2)(e^(|sinx|)cosx)/(1+e^(tanx))dx is equal to (a) e...

    Text Solution

    |

  19. The value of the expression (int0^a x^4(sqrt(a^2-x^2)))/(int0^a x^2(sq...

    Text Solution

    |

  20. IfA=int0^pi(cosx)/((x+2)^2)dx ,t h e nint0^(pi/2)(sin2x)/(x+1)dx is eq...

    Text Solution

    |