Home
Class 12
MATHS
int(x^4-1)/(x^2sqrt(x^4+x^2+1))dx= (a)...

`int(x^4-1)/(x^2sqrt(x^4+x^2+1))dx=` (a) `sqrt(x^2+1/(x^2)+1)+C` (b) `(sqrt(x^4+x^2+1))/(x^2)+C` (c) `(sqrt(x^4+x^2+1))/x+C` (d) none of these

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

int((x^4-1)dx)/(x^2sqrt(x^4+x^2+1))

int(x^2+1)/sqrt(x^2+4)dx

int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1))/(x^3)+C (b) (sqrt(2x^4-2x^2+1))/x+C (c) (sqrt(2x^4-2x^2+1))/(x^2)+C (d) (sqrt(2x^4-2x^2+1))/(2x^2)+C

int (x^(2)-1)/(x^(3)sqrt(2x^(4)-2x^(2)+1))dx=

int (x^2+2x+4)/((x+1)sqrt(x^2+1)) dx

int1/((1+x^4)sqrt(sqrt(1+x^4)-x^2))dx

int(xsin^(-1)x^(2))/(sqrt(1-x^(4)))dx

int (x^2 -1 )/ (x^3 sqrt(2x^4 - 2x^2 +1))dx is equal to

int (x^4-1)/(x^2)sqrt(x^4+x^2+1) dx equal to (A) sqrt((x^4+x^2+1)/x) + c (B) sqrt(x^4 + 2 - 1/x^2) + c (C) sqrt(x^2 + 1/x^2 + 1) + c (D) sqrt((x^4-x^2+1)/x) + c

d/(dx)[cos^(-1)(xsqrt(x)-sqrt((1-x)(1-x^2)))]= 1/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) (-1)/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2))+1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2)) 0 b. 1//4 c. -1//4 d. none of these

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. A curve g(x)=intx^(27)(1+x+x^2)^6(6x^2+5x+4)dx is passing through orig...

    Text Solution

    |

  2. If intsqrt(cos e cx+1)dx=kfog(x)+c ,w h e r ek is a real constant, th...

    Text Solution

    |

  3. int(x^4-1)/(x^2sqrt(x^4+x^2+1))dx= (a) sqrt(x^2+1/(x^2)+1)+C (b) (...

    Text Solution

    |

  4. int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1...

    Text Solution

    |

  5. intsqrt(e^x-1)dxi se q u a lto 2[sqrt(e^x-1)-tan^(-1)sqrt(e^x-1)]+c ...

    Text Solution

    |

  6. If intsinx d(secx)=f(x)-g(x)+c ,t h e n f(x)=secx (b) f(x)=tanx g(x...

    Text Solution

    |

  7. If I=int(sinx+sin^3x)/(cos2x)dx=Pcosx+Qlog|f(x)|+R , then (a)P=1/2,Q...

    Text Solution

    |

  8. If int(e^(x-1))/((x^2-5x+4))2xdx=A F(x-1)+B F(x-4)+C and F(x)=int(e^x)...

    Text Solution

    |

  9. Evaluate: int1/xsqrt((1-sqrt(x))/(1+sqrt(x))dx)

    Text Solution

    |

  10. Evaluate: int(x^3+3x+2)/((x^2+1)^2(x+1))dx

    Text Solution

    |

  11. int(3+2cosx)/((2+3cosx)^2)dx is equal to (a) ((sinx)/(3cosx+2))+c (b...

    Text Solution

    |

  12. int((x+2)/(x+4))^2 e^xdx is equal to

    Text Solution

    |

  13. IfI=int(sin2x)/((3+4cosx)^3)dx ,t h e nIe q u a l s (a)(3cosx+8)/((...

    Text Solution

    |

  14. If I=int (dx)/(secx + cosec x), then equals

    Text Solution

    |

  15. int(x^3dx)/(sqrt(1+x^2)) is equal to (A) 1/3sqrt(1+x^2)(2+x^2)+C ...

    Text Solution

    |

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

    Text Solution

    |

  17. int e^x((x^2+1))/((x+1)^2)dx is equal to ((x-1)/(x+1))e^x+c (b) e^x(...

    Text Solution

    |

  18. intxsinxsec^3xdx" is equal to

    Text Solution

    |

  19. IfI=int(dx)/(x^3sqrt(x^2-1)),t h e nIe q u a l s 1/2((sqrt(x^2-1))/(...

    Text Solution

    |

  20. int(ln((x-1)/(x+1)))/(x^2-1)dx is equal to (a)1/2(ln((x-1)/(x+1)...

    Text Solution

    |