Home
Class 12
MATHS
If intsinx d(secx)=f(x)-g(x)+c ,t h e n ...

If `intsinx d(secx)=f(x)-g(x)+c ,t h e n` `f(x)=secx` (b) `f(x)=tanx` `g(x)=2x` (d) `g(x)=x`

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 " int sinx d(secx)=f(x)-g(x)+c, then

If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then f(x)=sin^2x ,g(x)=sqrt(x) f(x)=sinx ,g(x)=|x| f(x=x^2,g(x)=sinsqrt(x) fa n dg cannot be determined

If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then (a).f(x)=sin^2x ,g(x)=sqrt(x) (b).f(x)=sinx ,g(x)=|x| (c)f(x=x^2,g(x)=sinsqrt(x) (d).f\ a n d \g cannot be determined

If f(x)=1/x ,g(x)=1/(x^2), and h(x)=x^2 , then (A) f(g(x))=x^2,x!=0,h(g(x))=1/(x^2) (B) h(g(x))=1/(x^2),x!=0,fog(x)=x^2 (C) fog(x)=x^2,x!=0,h(g(x))=(g(x))^2,x!=0 (D) none of these

If (x-1) is a factor of polynomial f(x) but not of g(x) , then it must be a factor of (a) f(x)g(x) (b) -f\ (x)+\ g(x) (c) f(x)-g(x) (d) {f(x)+g(x)}g(x)

The distinct linear functions which map [-1, 1] onto [0, 2] are f(x)=x+1,\ \ g(x)=-x+1 (b) f(x)=x-1,\ \ g(x)=x+1 (c) f(x)=-x-1,\ \ g(x)=x-1 (d) none of these

If f(x) and g(x) are two polynomials such that the polynomial h(x)=xf(x^3)+x^2g(x^6) is divisible by x^2+x+1, then f(1)=g(1) (b) f(1)=1g(1) h(1)=0 (d) all of these

f_n(x)=e^(f_(n-1)(x)) for all n in Na n df_0(x)=x ,t h e n d/(dx){f_n(x)} is (a) (f_n(x)d)/(dx){f_(n-1)(x)} (b) f_n(x)f_(n-1)(x) (c) f_n(x)f_(n-1)(x).......f_2(x)dotf_1(x) (d)none of these

Let h(x)=f(x)=f_(x)-g_(x) , where f_(x)=sin^(4)pix and g(x)=In x . Let x_(0),x_(1),x_(2) , ....,x_(n+1_ be the roots of f_(x)=g_(x) in increasing order. In the above question, the value of n is

If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to (A) f(a) = g(c ) (B) f(b) = g(b) (C) f(d) = g(b) (D) f(c ) = g(a)

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If I=int (dx)/(secx + cosec x), then equals

    Text Solution

    |

  12. int(x^3dx)/(sqrt(1+x^2)) is equal to (A) 1/3sqrt(1+x^2)(2+x^2)+C ...

    Text Solution

    |

  13. inte^(tanx)(secx-sinx)dx"is equal to"

    Text Solution

    |

  14. int e^x((x^2+1))/((x+1)^2)dx is equal to ((x-1)/(x+1))e^x+c (b) e^x(...

    Text Solution

    |

  15. intxsinxsec^3xdx" is equal to

    Text Solution

    |

  16. IfI=int(dx)/(x^3sqrt(x^2-1)),t h e nIe q u a l s 1/2((sqrt(x^2-1))/(...

    Text Solution

    |

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

    Text Solution

    |

  18. Let g(x)=int(1+2cosx)/((cosx+2)^2)dxa n dg(0)=0. then the value of 8g(...

    Text Solution

    |

  19. "Let " k(x)=int((x^(2)+1)dx)/(root(3)(x^(3)+3x+6)) " and " k(-1)=(1)/(...

    Text Solution

    |

  20. Column I a) int(x^2-x+1)/(x^3-4x^2+4x)dx b) int(x^2-1)/(x(x-2)^3)dx ...

    Text Solution

    |