Home
Class 12
MATHS
4int(sqrt(a^6+x^8))/x dx is equal to...

`4int(sqrt(a^6+x^8))/x dx` is equal to (a)`sqrt(a^6+x^8)+(a^3)/2ln|(sqrt(a^6+x^8)+a^3)/(sqrt(a^6+x^8)-a^3)|+c` (b) `a^6ln|(sqrt(a^6+x^8)-a^3)/(sqrt(a^6+x^8)+a^3)|+c` (c)`sqrt(a^6+x^8)+(a^3)/2ln|(sqrt(a^6+x^8)-a^3)/(sqrt(a^6+x^8)+a^3)|+c` (d) `a^6ln|(sqrt(a^6+x^8)+a^3)/(sqrt(a^6+x^8)-a^3)|+c`

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

int sqrt((x-2)(6-x))dx

(sqrt(8+2x-x^2)>6-3x)

int (dx)/(sqrt(x^(2)-x-6))

Evaluate: int(x^3)/(sqrt(1-x^8))dx

root(5)(x^(8).sqrt(x^(6).sqrt(x^(-4))

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

Simplify : (2+sqrt(3))^(6) + (2-sqrt(3))^(6)

Solve for x :(5+2sqrt(6))^(x^2-3)+(5-2sqrt(6))^(x^2-3)=10.

int_(2)^(3)(dx)/(sqrt(6x-x^(2)-5))=(pi)/(6)

Find the value of root(3)(x^4sqrt(x^(-5)sqrt(x^6))) .

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. The value of int(a x^2-b)/(xsqrt(c^2x^2-(a x^2+b)^2)) (a) 1/csin^(-...

    Text Solution

    |

  2. Ifint(dx)/(cos^3xsqrt(sin2x))=a(tan^2x+b)sqrt(tanx)+c ,t h e n (a) ...

    Text Solution

    |

  3. 4int(sqrt(a^6+x^8))/x dx is equal to (a)sqrt(a^6+x^8)+(a^3)/2ln|...

    Text Solution

    |

  4. "If " I=int e^(-x)log(e^(x)+1)dx, " then " I " equals "

    Text Solution

    |

  5. IfI(m , n)=intcos^m xsinn xdx , then 7I(4,3)-4I(3,2)" is equal to" (a...

    Text Solution

    |

  6. ifint(dx)/(x^2(x^n+1)^(((n-1)/n)) )=-[f(x)]^(1/n)+c ,t h e nf(x)i s ...

    Text Solution

    |

  7. Evaluate: int (sqrt(tanx)+sqrtcotx)dx

    Text Solution

    |

  8. Evaluate: int sqrt(cos2x)/(sinx)dx

    Text Solution

    |

  9. Ifintxe^xcosx dx=a e^x(b(1-x)sinx+c xcosx)+d ,t h e n (a) a=1,b=1,c=...

    Text Solution

    |

  10. If I=int sqrt((5-x)/(2+x)) dx, then equal

    Text Solution

    |

  11. Evaluate: int(x+1)/(x(1+x e^x)^2)dx

    Text Solution

    |

  12. Evaluateintcos2theta log((costheta+sintheta)/(costheta-sintheta))d the...

    Text Solution

    |

  13. Evaluate: int(1/(x^3+x^4)+(ln(1+x^(1/6))/(x^(1/3)+sqrt(x)))dx

    Text Solution

    |

  14. Evaluate: int (sqrt(tanx)+sqrtcotx)dx

    Text Solution

    |

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

    Text Solution

    |

  16. If I=int(sqrt(cotx)-sqrt(tanx))dx , is equal to (a) sqrt(2)"log"(sqr...

    Text Solution

    |

  17. intx(lna^(a^(x/2))/(3a^((5x)/2)b^(3x))+(lnb^(b^x))/(2a^(2x)b^(4x)))dx(...

    Text Solution

    |

  18. (inte^(x^4)(x+x^3+2x^5)e^(x^2) dx) is equal to (a)1/2x e^(x^2)e^(x^4...

    Text Solution

    |

  19. int(cos e c^2x-2005)/(cos^(2005)x)dx is equal to (a) -(cotx)/((cosx)^...

    Text Solution

    |

  20. If int(xln(x+sqrt(1+x^2)))/(sqrt(1+x^2))dx =asqrt(1+x^2)ln(x+sqrt(1+x...

    Text Solution

    |