Home
Class 12
MATHS
I=intcos^3(2theta)d theta is equal to...

`I=intcos^3(2theta)d theta` is equal to

A

`1/2(sectheta tantheta)+log_esqrt(sectheta+tantheta)+c`

B

`1/4(sec2theta tan2theta)+1/2log_esqrt(sec2theta+tan2theta)+c`

C

`1/4(sec^2 2theta sin2theta)+1/2log_eroot(4)(sec2theta+tan2theta)+c`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    PATHFINDER|Exercise QUESTION BANK|39 Videos
  • MATRICES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

int(cos2theta)/((sintheta+costheta)^2)d theta is equal to

The value of int_(0)^((pi)/(8))cos^(3)4 theta d theta is equal to -

If sin^3theta+sinthetacos^2theta=1,t h e ntheta is equal to (n in Z)

Let n ge 2 be a natural number and 0 lt theta lt (pi)/(2) , Then, int ((sin^(n)theta - sin theta)^(1/n) cos theta)/(sin^(n+1) theta)d theta is equal to (where C is a constant of integration)

(sin5theta+sin2theta-sintheta)/(cos5theta+2cos3theta+2cos^2theta+costheta) is equal to

If cos5theta=acos^5theta+bcos^3theta+ccostheta then c is equal to

The vlaue of (2sin^3 theta - sin theta)/(costheta - 2 cos^3 theta) is equal to____

If sec(theta+alpha)+sec(theta-alpha)=2/costheta . then cos^2theta is equal to

If 3tan(theta-15^0)=tan(theta+15^0), then theta is equal to n in Z)

PATHFINDER-INDEFINITE INTEGRATION-QUESTION BANK
  1. int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx

    Text Solution

    |

  2. int2^x(f'(x)+f(x)log2)dx is

    Text Solution

    |

  3. I=intcos^3(2theta)d theta is equal to

    Text Solution

    |

  4. I=int(e^x(1+sinx))/(1+cosx)dx is equal to

    Text Solution

    |

  5. If intsqrt((cosx-cos^3x)/((1-cos^3x)))dx=f(x)+c, then f(x) is equal to

    Text Solution

    |

  6. int(dx)/(x(x^m+1)) is equal to

    Text Solution

    |

  7. If intxlog(1+x^2)dx=A(x)cdotlog(1+x^2)+B(x)+c, then

    Text Solution

    |

  8. int(dx)/(sinx+sqrt3cosx)

    Text Solution

    |

  9. If int(sinx+sin^3x)/(cos2x)dx=lamdacosx+mulogabs(f(x))+c, then

    Text Solution

    |

  10. If int (xe^x)/(sqrt(1 + e^x)) dx = f(x) sqrt(1 + e^x) - 2 In g(x) + c...

    Text Solution

    |

  11. If intsin(logx)dx=f(x)(sing(x)-cosh(x))+c, then

    Text Solution

    |

  12. If int sin^-1sqrt(x/(1+x))dx=f(x) sin^-1sqrt(x/(1+x))-sqrtx+ (hog)(x)+...

    Text Solution

    |

  13. Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x). A...

    Text Solution

    |

  14. Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x). A...

    Text Solution

    |

  15. Let n be a positive interger such that In=intx^nsqrt(a^2-x^2)dx Answer...

    Text Solution

    |

  16. Let n be a positive interger such that In=intx^nsqrt(a^2-x^2)dx Answer...

    Text Solution

    |

  17. Match List-I with List-II

    Text Solution

    |

  18. Match List - I with List-II Let the functions defined in List - I ha...

    Text Solution

    |

  19. If int (sqrttanx + sqrtcotx) dx = a tan^-1 ((tan x - 1)/sqrt(b tan x))...

    Text Solution

    |

  20. If int((cos8x-cos7x)/(1+2cos5x))dx=(sin3x)/a-(sin2x)/b+c then the last...

    Text Solution

    |