Home
Class 12
MATHS
Evaluate: int((3sinx-2)cosx)/(5-cos^2x-4...

Evaluate: `int((3sinx-2)cosx)/(5-cos^2x-4sinx)\ dx`

Text Solution

Verified by Experts

The correct Answer is:
B
`I=int 4sinx "cos"(x)/(2)"cos"(3x)/(2)dx `
`=int 2sinx(cos2x+cosx)dx`
`=int(sin 3x-sinx+sin2x)dx`
`=cosx-(1)/(3)cos 3x-(1)/(2)cos2x+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Exercise (Multiple)|17 Videos

  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Exercise (Comprehension)|17 Videos

  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Exercise 7.9|15 Videos

  • HYPERBOLA

    CENGAGE|Exercise JEE Advanced Previous Year|14 Videos

  • INEQUALITIES AND MODULUS

    CENGAGE|Exercise Single correct Answer|21 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(sinx)/(cos2x)\ dx

Evaluate: int1/(1+sinx+cosx)dx

Evaluate: int(sinx)/(sin4x)dx

Evaluate: int1/(sinx-sin2x)dx

Evaluate: int(x-sinx)/(1-cosx)dx

Evaluate int(3sinx+2cosx)/(3cosx+2sinx)dx.

Evaluate int(dx)/(2+sinx+cosx).

Evaluate: int(dx)/(sinx(3+cos^2x)

Evaluate : int 1/(sinx cosx)dx .

Evaluate int(sinx)/(1+sinx)dx

CENGAGE-INDEFINITE INTEGRATION-Exercise (Single)
  1. int(sqrt((a+x)/(a-x))+sqrt((a-x)/(a+x)))dx " is equal to "

    Text Solution

    |

  2. int sqrt(1-sinx)dx " is equal to "

    Text Solution

    |

  3. Evaluate: int((3sinx-2)cosx)/(5-cos^2x-4sinx)\ dx

    Text Solution

    |

  4. If intsqrt(1+sinx)f(x)dx=2/3(1+sinx)^(3/2)+c ,t h e nf(x)e q u a l co...

    Text Solution

    |

  5. int(sqrt(x-1))/(x sqrt(x+1))dx " is equal to "

    Text Solution

    |

  6. IfI=int(dx)/(secx+cos e cx),t h e nIe q u a l s 1/2(cosx+sinx-1/(sqr...

    Text Solution

    |

  7. int("sin"(5x)/(3))/("sin"(x)/(2))dx is equal to (where, C is a constan...

    Text Solution

    |

  8. int (cos 5x + cos 4x)/(1-2cos3x) dx

    Text Solution

    |

  9. IfI=intsqrt((5-x)/(2+x))dx ,t h e nIe q u a l sqrt(x+2)sqrt(5+x)+3si...

    Text Solution

    |

  10. int(sin2x)/(sin5xsin3x)dx is equal to

    Text Solution

    |

  11. int(dx)/(x(x+1)) is

    Text Solution

    |

  12. Evaluate: int1/(sqrt(sin^3xsin(x+alpha)))\ dx ,\ alpha!=npi,\ \ n in ...

    Text Solution

    |

  13. int (px^(p+2q-1)-qx^(q-1))/(x^(2p+2q)+2x^(p+q)+1) dx is equal to (1...

    Text Solution

    |

  14. If y=int1/(1+x^2)^(3/2)dx and y=0 when x=0 , then value of y when x=1 ...

    Text Solution

    |

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

    Text Solution

    |

  16. int(In(tanx))/(sinx cosx)dx " is equal to "

    Text Solution

    |

  17. If m is a non-zero number and int (x^(5m-1)+2x^(4m-1))/(x^(2m)+x^m+1)^...

    Text Solution

    |

  18. If l^(prime)(x) means logloglog x , the log being repeated r times, th...

    Text Solution

    |

  19. Find int[sqrt(cotx)+sqrt(tanx)]dx

    Text Solution

    |

  20. If I= int (sin 2x)/((3+4cosx)^(3))dx, then I equals

    Text Solution

    |