Home
Class 12
MATHS
If f(x)=int(5x^8+7x^6)/((x^2+1+2x^7))dx,...

If `f(x)=int(5x^8+7x^6)/((x^2+1+2x^7))dx,(xge0)andf(0)=0`, then the value of f(1) is

A

`(x^7)/(2x^7+x^2+1)+C`

B

`log""((x^7)/(2x^7+x^2+1))+C`

C

`((x^7)/(2x^7+x^2+1))^(2)+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise Numerical value Type of JEE Main|15 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|26 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise LEVEL 1|135 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 f(x)=int((5x^4+4x^5))/((x^5+x+1)^(2))dx and f(0)=0, then the value of f(1) is :

If f(x) = int(5x^(8)+7x^(6))/((x^(2)+1+2x^(7))^(2))dx, (x ge 0) , and f(0) = 0, then the value of f(1) is

If f(x)=inte^(x)(tan^(-1)x+(2x)/((1+x^(2))^(2)))dx,f(0)=0 then the value of f(1) is

Let f(x)=int(x^2dx)/((1+x^2)(1+sqrt(x^2+1)))a n df(0)=0. Then value of f(1) will be

If f (x)=((x+1)^(7)sqrt(1+x ^(2)))/((x^(2) -x+1)^(6)), then the value of f'(0) is equal to:

If f'(x)=f(x)+ int_(0)^(1)f(x)dx , given f(0)=1 , then the value of f(log_(e)2) is

Let f(x)=int x^2/((1+x^2)(1+sqrt(1+x^2)))dx and f(0)=0 then f(1) is

If f(x)=int(3x^4-1)/(x^4+x+1)^2dx and f(0)=0 , then f(-1)= …

Suppose that f(x) is a function of the form f(x)=(ax^(8)+bx^(6)+cx^(4)+dx^(2)+15x+1)/(x), (x ne 0)." If " f(5)=2 , then the value of f(-5) is _________.

If lim_(trarrx)(e^(t)f(x)-e^(x)f(t))/((t-x)(f(x))^(2))=2 andf(0)=(1)/(2), then find the value of f'(0).

VMC MODULES ENGLISH-INTEGRAL CALCULUS-1-LEVEL 2
  1. int (x^4-1)/(x^2)sqrt(x^4+x^2+1) dx equal to (A) sqrt((x^4+x^2+1)/x) +...

    Text Solution

    |

  2. Evaluate: (sin^3x dx)/((cos^4x+3cos^2x+1)tan^(-1)(secx+cosx)

    Text Solution

    |

  3. integrate x^ x (1+logx)dx is equal to

    Text Solution

    |

  4. Evaluate: int1/(xsqrt(1+x^3))\ dx

    Text Solution

    |

  5. Evaluate: int(x^2-1)/((x^2+1)sqrt(x^4+1))dx

    Text Solution

    |

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

    Text Solution

    |

  7. int(dx)/((x^2+4x+5)^2) is equal to 1/2[tan^(-1)(x+1)+("x"+2)/("x"^2+...

    Text Solution

    |

  8. int((3x-2)^2)/x^2dx=?

    Text Solution

    |

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

    Text Solution

    |

  10. Evaluate the following Integrals : int (sec x .dx)/(sqrt(sin (x+2A...

    Text Solution

    |

  11. intsqrt(x^6+1).(log(x^6+1)-6logx)/(x^10)dx "is" =-(1)/(6)[(2)/(3)t^(3/...

    Text Solution

    |

  12. Evalaute: inte^(x)(1+nx^(n-1)-x^(2n))/((1-x^(n))sqrt(1-x^(2n))dx

    Text Solution

    |

  13. int(x^4(x^10-1))/((x^20+3x^10+1))dx=(1)/(5)tan^(-1)(f(x)+(1)/(f(x)))

    Text Solution

    |

  14. int sqrt((cosx-cos^(3)x)/(1-cos^(3)x))dx is equal to

    Text Solution

    |

  15. Evaluate : int(sinx)/(cos^(9//2)x)dx

    Text Solution

    |

  16. The value of int(cos^4xdx)/(sin^3x(sin^5x+cos^5x)^(3//5))=-(1)/(2)(1+g...

    Text Solution

    |

  17. Evaluate: intsqrt((3-x)/(3+x))sin^(-1)(1/6sqrt(3-x))dx

    Text Solution

    |

  18. Evaluate int(tan(pi/4 -x))/(cos^(2)x sqrt(tan^(3)x+tan^(2) x+ tan x))d...

    Text Solution

    |

  19. Primitive of root(3)((x)/((x^4-1)^(4))) w.r.t. X is :

    Text Solution

    |

  20. The value of int("ln"|x|)/(xsqrt(1+ln|x|)dx equals:

    Text Solution

    |