Home
Class 12
MATHS
Evaluate int(0)^((pi)/(2))sin^4 x cos^2x...

Evaluate `int_(0)^((pi)/(2))sin^4 x cos^2xdx`.

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(32)` .
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise EXERCISE 9.10|20 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_(0)^((pi)/(2))sin^5 x cos^4 xdx.

Evaluate int_(0)^((pi)/(2))(3sin^3x+4cos^4x)dx .

int_(0)^((pi)/(2))sin^5 xdx= .

Evaluate int_(0)^((pi)/(4))sin^(2)2xdx

Evaluate int_(0)^((pi)/(2)) (sinx)/(4+cos^2 x)dx .

int_(0)^((pi)/(2)) sin^7 xdx is :

Evaluate int_(0)^((pi)/(2))(xsinxcosxdx)/(sin^(4)x+cos^(4)x)

Evaluate int_(0)^((pi)/(2)) ( sin x )/( 9 +cos^(2)x) dx

Evaluate int_(0)^(2pi)x^2 sin 2xdx .

Evaluate int_(0)^(pi/2)(sin^(2)x+cos^(4)x) dx

FULL MARKS-APPLICATIONS OF INTEGRATION-ADDITIONAL PROBLEMS
  1. Evaluate: int(0)^(pi//2)(dx)/(4+9cos^(2)x)

    Text Solution

    |

  2. int(0)^((pi)/(2)) sin^7 xdx is :

    Text Solution

    |

  3. Evaluate int(0)^((pi)/(2))sin^4 x cos^2xdx.

    Text Solution

    |

  4. Find the area of the region bounded by y^2=4ax and x=|y|.

    Text Solution

    |

  5. Find the area of bounded by the curve y=x^(3) and thr liney=x.

    Text Solution

    |

  6. Find the area of the loop and the curve 3ay^(2)=x(x-a)^(2)1.

    Text Solution

    |

  7. Find the area between the line y=x+1 and the curve y=x^(2)-1

    Text Solution

    |

  8. The volume of the solid that results when the region enclosed by (x^(2...

    Text Solution

    |

  9. Find the volume of the solid generated when the region enclosed by y=s...

    Text Solution

    |

  10. The area bounded by the line y=x, the x-axis , the ordinates x=1,x=2 i...

    Text Solution

    |

  11. The area of the region bounded by the graph of y =sin x and y = cos x...

    Text Solution

    |

  12. Find the area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1.

    Text Solution

    |

  13. The area bounded by the parabola y^(2) = x and its latus rectum is

    Text Solution

    |

  14. The volume of solid obtained by revolving (x^2)/(9)+(y^2)/(16)=1 about...

    Text Solution

    |

  15. The volume when y = sqrt( 3 + x^(2)) from x = 0 to x = 4 is rotated a...

    Text Solution

    |

  16. the volume generated when the region bounded by y=x, y=1, x=0, is rota...

    Text Solution

    |

  17. Volume of solid obtained by revolving the area of the ellipse (x^(2))/...

    Text Solution

    |

  18. The volume generated by rotating the triangle with vertices at (0,0), ...

    Text Solution

    |

  19. The length of th arc of the curve x^(2//3)+y^(2//3)=4 is…..

    Text Solution

    |

  20. The surface area of the solid of revolution of the region bounded by ...

    Text Solution

    |