Home
Class 12
MATHS
Ifxf(x)=3f^2(x)+2,t h e nint(2x^2-12 xf(...

`Ifxf(x)=3f^2(x)+2,t h e nint(2x^2-12 xf(x)+f(x))/((6f(x)-x)(x^2-f(x))^2)dx` equal. (A)`1/(x^2-f(x))+c` (B) `1/(x^2+f(x))+c` (C) `1/(x-f(x))+c` (D) `1/(x+f(x))+c`

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

if f(x)=3e^(x^2) then f'(x)-2xf(x)+1/3f(0)-f'(0)

"If " (d)/(dx)f(x)=f'(x), " then " int(xf'(x)-2f(x))/(sqrt(x^(4)f(x)))dx is equal to

If intf(x)dx=2 {f(x)}^(3)+C , then f (x) is

If f(x)=A x^2+B x+C then find f '(x)

If 2f(x^2)+3f(1/x^2)=x^2-1 , then f(x^2) is

If f(x)=cos^2x+s e c^2x ,t h e n f(x)<1 (b) f(x)=1 (c) 2ltf(x)<1 (d) """"f(x)ge2

If f(x)=cos^2x+s e c^2x ,t h e n (a) f(x)<1 (b) f(x)=1 (c) 2ltf(x)<1 (d) """"f(x)ge2

If int(1)/(x^(2)+2x+2)dx=f (x) +C , then f (x)=

If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1/(2001)) f(x-1)>f(x-2) f(2x-3)>f(2x)

If f(x)=(2^x+2^(-x))/2 , then f(x+y)f(x-y) is equals to (a) 1/2{f(2x)+f(2y)} (b) 1/2{f(2x)-f(2y)} (c) 1/4{f(2x)+f(2y)} 1/4{f(2x)-f(2y)}

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. If int(xln(x+sqrt(1+x^2)))/(sqrt(1+x^2))dx =asqrt(1+x^2)ln(x+sqrt(1+x...

    Text Solution

    |

  2. If intf(x)sinxcosxdx=1/(2(b^2-a^2))lnf(x)+c ,then f(x) is equal to

    Text Solution

    |

  3. Ifxf(x)=3f^2(x)+2,t h e nint(2x^2-12 xf(x)+f(x))/((6f(x)-x)(x^2-f(x))^...

    Text Solution

    |

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

    Text Solution

    |

  5. The value of integral inte^x(1/(sqrt(1+x^2))+(1-2x^2)/(sqrt((1+x^2)^5)...

    Text Solution

    |

  6. int sqrt(1+cosecx) dx equals

    Text Solution

    |

  7. If I=intsec^2xcos e c^4x dx=Acot^3x+Btanx+Ccotx+D , then find the valu...

    Text Solution

    |

  8. A curve g(x)=intx^(27)(1+x+x^2)^6(6x^2+5x+4)dx is passing through orig...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |