Home
Class 12
MATHS
int(-(pi)/(2))^((pi)/(2)) sin^(3) theta ...

`int_(-(pi)/(2))^((pi)/(2)) sin^(3) theta cos^(3) theta d theta`

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise -2.5 (Level-1)|6 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise-2.6 (Level-1)|14 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise-2.3 (Level-1)|40 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

Find the value of the integral int_(-pi//2)^(pi//2) sin^(2) theta . Cos^(7)theta d theta

int_(-pi//2)^(pi//2) ln((2-sin theta)/(2+sin theta))d theta=

Show that int_(0)^(pi//2) (cos^(2) theta)/(cos^(2) theta + 4 sin^(2) theta)d theta = (pi)/(6)

Evaluate int_(0)^(pi) sin^(3) theta(1+2 cos theta)(1+ cos theta)^(2) d theta

int_(-pi//2)^(pi//2) cos theta (1+sin theta)^(2) d theta=

int_(0)^(pi) sqrt(2-2cos theta) d theta

AAKASH SERIES-DEFINITE INTEGRALS-Exercise - 2.4 (Level-1)
  1. int(0)^(2pi) sin^(7) x cos^(5) x dx

    Text Solution

    |

  2. int(0)^(2pi) sin^(11) x cos^(10)x dx

    Text Solution

    |

  3. Find the values of the following integrals (i) int(-2 pi)^(2pi) cos^...

    Text Solution

    |

  4. Find underset(-pi//2)overset(pi//2)int sin^(2)x cos^(4)x dx

    Text Solution

    |

  5. Find the value of the integral underset(-pi//2)overset(pi//2)int si...

    Text Solution

    |

  6. int(-(pi)/(2))^((pi)/(2)) sin^(3) theta cos^(3) theta d theta

    Text Solution

    |

  7. int(-pi//2)^(pi//2) sin^(2) x cos^(2) x(sin x + cos x) dx=

    Text Solution

    |

  8. int(0)^(2pi) x sin^(6) x cos^(5) x dx=

    Text Solution

    |

  9. Evaluate the following integrals (ii) int(0)^(pi) x sin^(5) x cos^(...

    Text Solution

    |

  10. Find underset(0)overset(pi)int xsin^(7)x cos^(6)x dx

    Text Solution

    |

  11. Evaluate int(0)^((1)/(sqrt(2)))(x^(3))/(sqrt(1-x^(2))) dx

    Text Solution

    |

  12. Evaluate int(0)^((1)/(2)) (x^(7))/(sqrt(1-x^(4))) dx

    Text Solution

    |

  13. Find underset(-a)overset(a)int x^(2) (a^(2)-x^(2))^(3//2)dx

    Text Solution

    |

  14. Evaluate the integral underset(0)overset(4) int (16-x^(2))^(5//2) d...

    Text Solution

    |

  15. Evaluate the integral underset(0)overset(1) int x^(5) (1-x)^(5//2)d...

    Text Solution

    |

  16. Find the value of the integral underset(0)overset(a) int x(a^(2)-x^...

    Text Solution

    |

  17. Find the value of the integral underset(0)overset(2)int x^(3//2)sqr...

    Text Solution

    |

  18. Evaluate int(0)^(1)x^(6) sin^(-1) x dx

    Text Solution

    |

  19. If I(n) = int((pi)/(4))^((pi)/(2)) cot^(n) x dx, prove that I(n) + I(n...

    Text Solution

    |

  20. If I(n) = int((pi)/(6)) "cosec"^(n) x dx, show that (n-1)I(n) = 2^(n-2...

    Text Solution

    |