Home
Class 12
MATHS
The solution for x of the equation int(s...

The solution for `x` of the equation `int_(sqrt(2))^x(dt)/(tsqrt(t^2-1))=pi/2` is `pi` (b) `(sqrt(3))/2` (c) `2sqrt(2)` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

The solution of the equation int_sqrt2^x dx/(xsqrt(x^2-1)=pi/12 is given by

Find the solution for x of the equation int_(2^(1/2))^x1/(t(t^2-1)^(1/2))dt= pi/2 .

int_(0)^(pi)(sqrt(2)xdx)/(sqrt(2)+sin x)

The sum of the solution of the equation 2sin^(-1)sqrt(x^2+x+1)+cos^(-1)sqrt(x^2+x)=(3pi)/2 is 0 (b) -1 (c) 1 (d) 2

Prove that, int_(2)^(3)(dx)/((x-1)sqrt(x^(2)-2x))=(pi)/(3)

The number of real solutions of the equation 2sin^-1sqrt((x^2-x+1))+cos^-1sqrt((x^2-x))=(3pi)/2

If tan^(-1)((a+x)/a)+tan^(-1)((a-x)/a)=pi/6,then x^2= 2sqrt(3)a (b) sqrt(3)a (c) 2sqrt(3)a^2 (d) none of these

The value of the definite integral int_0^(pi/2)sqrt(tanx)dx is (a) sqrt(2)pi (b) pi/(sqrt(2)) (c) 2sqrt(2)pi (d) pi/(2sqrt(2))

Find the equation of tangent to y=int_(x^2)^(x^3)(dt)/(sqrt(1+t^2))a tx=1.

Which of the following is not the solution of (log)_3(x^2-2)<(log)_3(3/2|x|-1) is (sqrt(2),2) (b) (-2,-sqrt(2)) (-sqrt(2),2 (d) none of these

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. int0^pi(xtanx)/(secx+cosx)dx is (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The value of the integral int(-pi)^pisinm xsinn xdx , for m!=n(m , n i...

    Text Solution

    |

  6. Evaluate: int(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If f(pi) = 2 and int0^pi (f(x)+f^('')(x)) sinx dx=5, then f(0) is equa...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. int0^4((y^2-4y+5)sin(y-2)dy)/([2y^2-8y+11]) is equal to (a) 0 (b) 2 ...

    Text Solution

    |

  17. The values of a for which the integral int0^2|x-a|dxgeq1 is satisfie...

    Text Solution

    |

  18. evaluate: I=int(2x)/((x^2+1)(x^2+3))dx is

    Text Solution

    |

  19. Let I=int1^3sqrt(3+x^3)dx , then the value of I will lie in the inte...

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |