Home
Class 12
MATHS
int(sqrt(1+x^2)-x)^n dx...

`int(sqrt(1+x^2)-x)^n dx`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

int (sqrt(x^2+1)/x) dx

int(sqrt(1+x^(2)))/(x)dx

int(x+sqrt(1+x^(2)))^(n)dx=A(x+sqrt(1+x^(2)))^(n+1)+B(x+sqrt(1+x^(2)))^(n-1)+c then (1)/(A)+(1)/(B)=

Evaluate: int([sqrt(1+x^(2)+x)]^(n))/(sqrt(1+x^(2)))dx

int(sqrt(x^(2)+1))/(x)dx

int(sqrt(x^(2)+1))/(x)dx

int(x)/(sqrt(1+x^(2)))dx

int(x)/(sqrt(1+x^(2)))dx

If int (x+sqrt(1+x^(2)))^(n)dx . =(1)/(a(n+1)){x+sqrt(1+x^(2))}^(n+1)+(1)/(-b(n-1)){x+sqrt(1+x^(2))}^(n-1)+C Then (a+b) is equal to

Evaluate: (i) int1/(sqrt((x-1)(x-2)))\ dx (ii) int1/(sqrt(9+8x-x^2))\ dx

RESONANCE DPP-JEE MAINS-All Questions
  1. 1)int(-pi/2)^pi sin^(-1) (sinx) dx 2)int(-pi/2)^(pi/2) (-pi/2)/(sqr...

    Text Solution

    |

  2. if f(x) = lim(n->oo) 2/n^2(sum(k=1)^n kx)((3^(nx)-1)/(3^(nx)+1)) where...

    Text Solution

    |

  3. int(sqrt(1+x^2)-x)^n dx

    Text Solution

    |

  4. The expression [(1+sin(pi/8)+icos(pi/8))/(1+sin(pi/8)-icos(pi/8))]^8 i...

    Text Solution

    |

  5. if the roots of the equation z^(2) + ( p +iq) z + r + is =0 are real ...

    Text Solution

    |

  6. The expression in the vector form for the point vec r1 of intersectio...

    Text Solution

    |

  7. If the function f(x)=(x^2)/2+lnx+a x is always monotonically increasi...

    Text Solution

    |

  8. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

    Text Solution

    |

  9. The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt...

    Text Solution

    |

  10. "S o l v e"int0^(pi/2)(cosx)/((1+sinx)(2+sinx))dx

    Text Solution

    |

  11. If Sn=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n^2-4))++1/(sqrt(3n^2+2n-1)),n ...

    Text Solution

    |

  12. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1...

    Text Solution

    |

  13. The reflection of the point vec a in the plane vec rdot vec n=q ...

    Text Solution

    |

  14. The equation of tangent to the curve y=int(x^2)^(x^3)(dt)/sqrt(1+t^2) ...

    Text Solution

    |

  15. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  16. If f1(x)=x ,f2(x)=1-x ,f3(x)=1/x ,f4(x)=1/(1-x),f5(x)=x/(x-x),f5(x)=x/...

    Text Solution

    |

  17. Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...

    Text Solution

    |

  18. If int((x-1)dx)/(x^2sqrt(2x^2-2x+1))=(sqrt(f(x)))/(g(x))+C ,t h e n f...

    Text Solution

    |

  19. If vec a , vec ba n d vec c are unit vectors, then | vec a- vec b|^2+...

    Text Solution

    |

  20. Let lambda=int0^1(dx)/(1+x^3),p=(lim)(n->oo)[(prod(r=1)^n(n^3+r^3)...

    Text Solution

    |