Home
Class 12
MATHS
The value of inte^(secx)*sec^3x(sin^2x+c...

The value of `inte^(secx)*sec^3x(sin^2x+cosx+sinx+sinxcosx)dx` is

A

`inte^(secx).(sec^(2)x+secxtanx)`

B

`e^(secx)+C`

C

`e^(secx)(secx+tanx)+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Exercise|62 Videos

  • INCREASING AND DECREASING FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

  • INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Illustration|1 Videos

Similar Questions

Explore conceptually related problems

The value of int e^(sec x)*sec^(3)x(sin^(2)x+cos x+sin x+sin x cos x)dx

The value of int e^(secx)*sec x^(3)(sin x^(2)+cos x+sin x+sin x*cos x)

int(cosx+sinx)/(sin x-cos x)dx=

The value of int(cos2x)/(cosx+sinx)dx is

I=inte^(cosx-sinx)(sin x+cos x)dx

" int sinx sin 2x (sin3x)dx

The value of int(sinx +cosx)/(3+sin2x)dx , is

"int(cosx-sinx)/((sin x+cos x))dx

The value of int(dx)/(sinxcosx+3cos^(2)x) is

OBJECTIVE RD SHARMA-INDEFINITE INTEGRALS-Chapter Test
  1. If int log(sqrt(1-x)+sqrt(1+x))dx=xf(x)+Ax+Bsin^(-1)x+C, then

    Text Solution

    |

  2. If int(x^(5))/(sqrt(1+x^(3)))dx is equal to

    Text Solution

    |

  3. The value of inte^(secx)*sec^3x(sin^2x+cosx+sinx+sinxcosx)dx is

    Text Solution

    |

  4. int(2x^(2)+3)/((x^(2)-1)(x^(2)+4))dx=alog((x+1)/(x-1))+b"tan"^(-1)(x)/...

    Text Solution

    |

  5. Let f(x)=x/((1+x^n)^(1/ n)) for ngeq2 and g(x)=(f(ofo ...of)(x) Then ...

    Text Solution

    |

  6. The value of int((ax^2-b)dx)/(xsqrt(c^2x^2-(ax^2+b)^2)) is equal to

    Text Solution

    |

  7. Evaluate: inte^x(1+n x^(n-1)-x^(2n))/((1-x^n)sqrt(1-x^(2n)))dx

    Text Solution

    |

  8. int(xcosx+1)/(sqrt(2x^(3)e^(sinx)+x^(2)))dx

    Text Solution

    |

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

    Text Solution

    |

  10. int sinx/sin(x-alpha)dx=Ax+B log (sin(x-alpha))+C then find out A & B

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. int(1+x^(2))/(xsqrt(1+x^(4)))dx is equal to

    Text Solution

    |

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

    Text Solution

    |

  15. If int(1)/(x^(3)+x^(4))dx=(A)/(x^(2))+(B)/(x)+log|(x)/(x+1)|+C , then

    Text Solution

    |

  16. Let f(x)=int(1)/((1+x^(2))^(3//2))dx and f(0)=0 then f(1)=

    Text Solution

    |

  17. int (x)^(1/3) (7sqrt(1+3sqrt(x^(4))))dx is equal to

    Text Solution

    |

  18. int(1)/((a^(2)+x^(2))^(3//2))dx is equal to

    Text Solution

    |

  19. int(1)/(x(x^(4)-1))dx is equal to

    Text Solution

    |

  20. int(1+x)/(1+3sqrt(x))dx is equal to

    Text Solution

    |