Home
Class 12
MATHS
IfI=int(dx)/((2a x+x^2)^(3/2)),then I is...

`IfI=int(dx)/((2a x+x^2)^(3/2))`,then `I` is equal to`` (a)`-(x+a)/(sqrt(2a x+x^2))+c` (b) `-1/a(x+a)/(sqrt(2a x+x^2))+c` (c)`-1/(a^2)(x+a)/(sqrt(2a x+x^2))+c` (d) `-1/(a^3)(x+a)/(sqrt(2a x+x^3))+c`

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

IfI=int(dx)/((a^2-b^2x^2)^(3/2)),t h e nIe q u a l (a) x/(sqrt(a^2-b^2x^2))+C (b) x/(2sqrt(a^2-b^2x^2))+C (c) (a x)/(sqrt(a^2-b^2x^2))+C (d) none of these

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

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

int 1/ sqrt (a^2 + x^2) dx = log ( x + sqrt(x^2 + a^2)) + c

int(x^3dx)/(sqrt(1+x^2)) is equal to (A) 1/3sqrt(1+x^2)(2+x^2)+C (B) 1/3sqrt(1+x^2)(x^2-1)+C (C) 1/3(1+x^2)^(3/2)+C (D) 1/3sqrt(1+x^2)(x^2-2)+C

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

IfI=int(dx)/(x^3sqrt(x^2-1)),t h e nIe q u a l s a. 1/2((sqrt(x^2-1))/(x^3)+tan^(-1)sqrt(x^2-1))+C b. 1/2((sqrt(x^2-1))/(x^2)+xtan^(-1)sqrt(x^2-1))+C c. 1/2((sqrt(x^2-1))/x+tan^(-1)sqrt(x^2-1))+C d. 1/2((sqrt(x^2-1))/(x^2)+tan^(-1)sqrt(x^2-1))+C

d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))] is (a) 1/(2(1+x)sqrt(x)) (b) 3/((1+x)sqrt(x)) (c) 2/((1+x)sqrt(x)) (d) 3/(2(1+x)sqrt(x))

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. Evaluate: int(e^(tan^(-1)x))/((1+x^2))[(sec^(-1)sqrt(1+x^2)+cos^(-1)(...

    Text Solution

    |

  2. int(sqrt(x-1))/(xsqrt(x+1))dxi se q u a lto ln|x-sqrt(x^2-1)|-tan^(-1...

    Text Solution

    |

  3. IfI=int(dx)/((2a x+x^2)^(3/2)),then I is equal to (a)-(x+a)/(sqrt(2a ...

    Text Solution

    |

  4. If f^(prime)(x)=1/(-x+sqrt(x^2+1)) and f(0)=(1+sqrt(2))/2 then f(1) ...

    Text Solution

    |

  5. inte^x((2tanx)/(1+tanx)+cot^2(x+pi/4))dxi se q u a lto e^xtan(pi/4-x)...

    Text Solution

    |

  6. The value of the integral int(x^2+x)(x^(-8)+2x^(-9))^(1/(10))dx is 5/(...

    Text Solution

    |

  7. Ifint(dx)/((x+2)(x^2+1))=aln(1+x^2)+btan^(-1)x+1/5ln|x+2|+C Then (a) ...

    Text Solution

    |

  8. If int (3sinx+2cosx)/ (3cosx+2sinx) dx=a x+b ln|2sinx+3cosx|+C, then (...

    Text Solution

    |

  9. Ifint(3e^x-5e^(-x))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n ...

    Text Solution

    |

  10. intsqrt((cosx-cos^3x)/(1-cos^3x))dx is equal to (a) -2/3sin^(-1)(cos...

    Text Solution

    |

  11. If l^(prime)(x) means logloglog x , the log being repeated r times, th...

    Text Solution

    |

  12. int(cos4x-1)/(cotx-tanx)dx is equal to (A) 1/2ln|sec2x|-1/4cos^2 2x+...

    Text Solution

    |

  13. If int(dx)/(sqrt(sin^3xcos^5x))=asqrt(cotx)+bsqrt(tan^3)x+c , then (...

    Text Solution

    |

  14. int e^(tan^(-1)x)(1+x+x^2)d(cot^(-1)x) is equal to (a) -e^(tan^(-1)x)...

    Text Solution

    |

  15. int(x^9dx)/((4x^2+1)^6) is equal to (a)1/(5x)(4+1/(x^2))^(-5)+c (b...

    Text Solution

    |

  16. int(2sinx)/(3+sin2x)dx is equal to

    Text Solution

    |

  17. int(ln(tanx)/(sinxcosx)dxi se q u a lto (a)1/2ln(tanx)+c (b) 1/2l...

    Text Solution

    |

  18. intsin^(-1)((2x)/(1+x^2))dx is e q u a lto

    Text Solution

    |

  19. If int(1-x^(7))/(x(1+x^(7)))dx=alog(e)|x|+blog(e)|x^(7)+1|+c, then

    Text Solution

    |

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

    Text Solution

    |