Home
Class 12
MATHS
int(0)^((pi)/(2))sqrt(costheta)*sin^(3)t...

`int_(0)^((pi)/(2))sqrt(costheta)*sin^(3)theta d theta=` . . .

Text Solution

Verified by Experts

The correct Answer is:
`(8)/(21)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise EXERCISE 9.4|4 Videos

  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise EXERCISE 9.5|2 Videos

  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise EXERCISE 9.2|2 Videos

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (5 MARKS)|5 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following : int_(0)^((pi)/(2)) sin^(3) theta cos^(5) theta d theta

Evaluate: int_(0)^(pi//2) sqrtsinthetacos^(5)theta d theta

Evaluate: int_(0)^(pi/2)(costheta)/((1+sintheta)(2+sintheta))d theta .

Evaluate int_(0)^((pi)/(2))(cos theta d theta)/((sin theta +2)(sin theta +3)) .

Let f beintegrable over [0,a] for any real value of a . If I_(1)=int_(0)^(pi//2)cos theta f(sin theta +cos^(2) theta) d theta and I_(2)=int_(0)^(pi//2) sin 2 theta f(sin theta+cos^(2) theta) d theta , then

Show that int_0^(pi/2)sqrt((sin2theta))sinthetadtheta=pi/4

Evaluate int_(0)^(pi//2)(costheta)/((1+sintheta)(2+sintheta))d theta

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)

If I_(1)=int_(0)^(1)(dx)/(e^(x)(1+x)) and I_(2)=int_(0)^(pi//4)(e^(tan^(7)theta)sintheta)/((2-tan^(2)theta)cos^(3)theta d theta ,then find the value of (l_(1))/(l_(2)) .

SURA PUBLICATION-APPLICATION OF INTEGRATION -EXERCISE 9.3
  1. Evaluate the following definite integrals : int(3)^(4) (dx)/(x^(2)-4...

    Text Solution

    |

  2. Evaluate the following definite integrals : int(-1)^(1) (dx)/(x^(2)+...

    Text Solution

    |

  3. Evaluate the following definite integrals : int(0)^(1) sqrt((1-x)/(1...

    Text Solution

    |

  4. Evaluate the following definite integrals : int(0)^((pi)/(2)) e^(x)(...

    Text Solution

    |

  5. int(0)^((pi)/(2))sqrt(costheta)*sin^(3)theta d theta= . . .

    Text Solution

    |

  6. Evaluate the following definite integrals : int(0)^(1) (1-x^(2))/((...

    Text Solution

    |

  7. Evaluate the following integrals using properties of integration : i...

    Text Solution

    |

  8. Evaluate the following integrals using properties of integration : ...

    Text Solution

    |

  9. Evaluate the following integrals using properties of integration : i...

    Text Solution

    |

  10. Evaluate the following integrals using properties of integration : i...

    Text Solution

    |

  11. Evaluate the following integrals using properties of integration : i...

    Text Solution

    |

  12. Evaluate the following integrals using properties of integration : i...

    Text Solution

    |

  13. Evaluate the following integrals using properties of integration : i...

    Text Solution

    |

  14. Evaluate the following integrals using properties of integration : i...

    Text Solution

    |

  15. Evaluate the following integrals using properties of integration : i...

    Text Solution

    |

  16. Evaluate the following integrals using properties of integration : i...

    Text Solution

    |

  17. Evaluate the following integrals using properties of integration : i...

    Text Solution

    |