Home
Class 12
MATHS
If int (x+1)/(sqrt(2x-1))dx=f(x) sqrt(2x...

If `int (x+1)/(sqrt(2x-1))dx=f(x) sqrt(2x-1)+C`, where C is a constant of integration, then f(x) is equal to

A

` (2)/(3) (x - 4 ) `

B

` (2)/(3) ( x + 2 ) `

C

` (1)/(3) (x + 1 ) `

D

` (1)/(3) ( x + 4 ) `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise Numerical value Type of JEE Main|15 Videos
  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos
  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|10 Videos

Similar Questions

Explore conceptually related problems

If int x^(5)e^(-x^(2))dx = g(x)e^(-x^(2))+C , where C is a constant of integration, then g(-1) is equal to

int ((x ^(2) -x+1)/(x ^(2) +1)) e ^(cot^(-1) (x))dx =f (x) .e ^(cot ^(-1)(x)) +C where C is constant of integration. Then f (x) is equal to:

"If"int(dx)/(x^(3)(1+x^(6))^(2/3))=xf(x)(1+x^(6))^(1/3)+C where, C is a constant of integration, then the function f(x) is equal to

If intf(x)dx=3[f(x)]^(2)+c (where c is the constant of integration) and f(1)=(1)/(6) , then f(6pi) is equal to

If intsqrt(1-cosx)f(x)dx=2/3(1-cosx)^(3//2)+c where c is constant of integration then f(x) equals:

If the integral I=int(x^(5))/(sqrt(1+x^(3)))dx =Ksqrt(x^(3)+1)(x^(3)-2)+C , (where, C is the constant of integration), then the value of 9K is equal to

The value of int(x dx)/((x+3)sqrt(x+1) is (where , c is the constant of integration )

If B=int(1)/(e^(x)+1)dx=-f(x)+C , where C is the constant of integration and e^(f(0))=2 , then the value of e^(f(-1)) is

If int(dx)/(sqrt(e^(x)-1))=2tan^(-1)(f(x))+C , (where x gt0 and C is the constant of integration ) then the range of f(x) is

If I=int((lnx)^(5))/(sqrt(x^(2)+x^(2)(lnx)^(3)))dx=ksqrt((lnx)^(3)+1)((lnx)^(3)-2)+c (where c is the constant of integration), then 9k is equal to

VMC MODULES ENGLISH-INTEGRAL CALCULUS-1-JEE MAIN (ARCHIVE)
  1. The value of int (tan x )/(tan ^(2) x + tan x+1)dx =x -(2)/(sqrtA) tan...

    Text Solution

    |

  2. The value of int(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x))dx is

    Text Solution

    |

  3. The value of the integral int(0) ^(pi//2) sin ^3 x dx is :

    Text Solution

    |

  4. The value of int(pi//4)^(3pi//4)(x)/(1+sin x)dx ….

    Text Solution

    |

  5. if x^(2) !=npi+1, ninN then int x sqrt((2sin(x^(2)-1)-sin2(x^(2)-1))/(...

    Text Solution

    |

  6. If f(x)=int(5x^8+7x^6)/((x^2+1+2x^7))dx,(xge0)andf(0)=0, then the valu...

    Text Solution

    |

  7. Let nge2 be a natural number and 0ltthetaltpi//2. Then int((sin^ntheta...

    Text Solution

    |

  8. If intx^5e^(-4x^3)dx=(1)/(48)e^(-4x^3)(f(x))+c, where c is contant of ...

    Text Solution

    |

  9. If int(sqrt(1-x^2))/x^4dx=A(x) (sqrt(1-x^2))^m+C,for a suitable chose...

    Text Solution

    |

  10. If int (x+1)/(sqrt(2x-1))dx=f(x) sqrt(2x-1)+C, where C is a constant o...

    Text Solution

    |

  11. The integral intcos(logex)dx is equal to (where C is a contant of int...

    Text Solution

    |

  12. The integral int(3x^13+2x^11)/((2x^4+3x^2+1)^4)dx is equal to (where C...

    Text Solution

    |

  13. int("sin"(5x)/(3))/("sin"(x)/(2))dx is equal to (where, C is a constan...

    Text Solution

    |

  14. "If"int(dx)/(x^(3)(1+x^(6))^(2/3))=xf(x)(1+x^(6))^(1/3)+C where, C is ...

    Text Solution

    |

  15. The integral int sec^(2//3)x cosec^(4//3)x dx is equal to : (Here ...

    Text Solution

    |

  16. It int e^(sec x) (sec x tan x f (x) + (sec x tan x + sec^(2) x)) dx = ...

    Text Solution

    |

  17. If lim(dx)/(x^(2)-2x +10)^(2) =A(tan^(-1)(x-1)/3)+(f(x))/(x^(2)-2x+10)...

    Text Solution

    |

  18. If int x^(5)e^(-x^(2))dx = g(x)e^(-x^(2))+C, where C is a constant of ...

    Text Solution

    |

  19. The integral int(2x^(3)-1)/(x^(4)+x)dx is equal to : (Here C is a c...

    Text Solution

    |

  20. Let alpha in (0, pi/2) be fixed. If the integral int(tan x + tan alpha...

    Text Solution

    |