Home
Class 12
MATHS
Evaluate: int0^pie^(|cosx|)(2s in(1/2cos...

Evaluate: `int_0^pie^(|cosx|)(2s in(1/2cosx)+3cos(1/2cosx))sinxdxdot`

Text Solution

Verified by Experts

The correct Answer is:
`r=(24)/(5)[e cos((1)/(2))+(e )/(2)sin((1)/(2))-1]`
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_0^pie^(|cosx|)(2sin(1/2cosx)+3cos(1/2cosx))sinxdxdot

Evaluate: int_0^pilog(1+cosx)dx

Evaluate: int_0^pi1/(1+e^(cosx))dx

Evaluate int_(0)^(2pi)|cosx|dx

int(1-cosx)/(cosx(1+cosx))dx

int(1-cosx)/(cosx(1+cosx))dx

Evaluate: int_0^(pi/2) cos^2x/(2+sinx+cosx)dx

Evaluate: int_0^pi(e^(cosx))/(e^(cosx)+e^(-cosx))dx

Evaluate: int_0^(pi//2)cosx\ dx

Evaluate: int_0^(pi//2)(cosx)/(1+cosx+sinx)dx

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
  1. Match List I with List II and select the correct answer using the code...

    Text Solution

    |

  2. Evaluate: 5050(int0 1(1-x^(50))^(100)dx)/(int0 1(1-x^(50))^(101)dx)

    Text Solution

    |

  3. Evaluate: int0^pie^(|cosx|)(2s in(1/2cosx)+3cos(1/2cosx))sinxdxdot

    Text Solution

    |

  4. Find the value of int(-pi/3)^(pi/3)(pi+4x^3)/(2-cos(|x|pi/3))dx

    Text Solution

    |

  5. Show that: int0^(pi//2)f(sin2x)sinxdx=sqrt(2)int0^(pi//4)f(cos2x)co...

    Text Solution

    |

  6. int(-pi)^(pi) ( e^(sin x ))/( e^(sinx) + e^(-sinx))dx is equal to

    Text Solution

    |

  7. Prove that int(0)^(1)tan^(-1)(1/(1-x+x^(2)))dx=2int(0)^(1)tan^(-1)xdx....

    Text Solution

    |

  8. Evaluate int(0)^(pi//4) log (1+tan theta)d theta

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. Evaluate int(-1//sqrt(3))^(1//sqrt(3)) (x^(4))/(1-x^(4)) "cos"^(-1)((2...

    Text Solution

    |

  11. Evaluate: int2^3(2x^5+x^4-2x^3+2x^2+1)/((x^2+1)(x^4-1))dx

    Text Solution

    |

  12. A cubic function f(x) vanishes at x=-2 and has relative minimum/maximu...

    Text Solution

    |

  13. Evaluate: int0^pi(xsin2xsin(pi/2cosx)/(2x-pi)dx

    Text Solution

    |

  14. Prove that for any positive integer k ,(sin2k x)/(sinx)=2[cosx+cos3x+...

    Text Solution

    |

  15. If fa n dg are continuous function on [0,a] satisfying f(x)=f(a-x)a n ...

    Text Solution

    |

  16. The value of the integral overset(2a)underset(0)int (f(x))/(f(x)+f(2a-...

    Text Solution

    |

  17. int0^1log(sqrt(1-x)+sqrt(1+x))dx equals:

    Text Solution

    |

  18. Evaluate int(0)^(pi)(x dx)/(1+cos alpha sin x),where 0lt alpha lt pi.

    Text Solution

    |

  19. Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx

    Text Solution

    |

  20. Evaluate: int0^(1/2)(xsin^(-1)x)/(sqrt(1-x^2))dx

    Text Solution

    |