Home
Class 12
MATHS
Evaluate the following integrals : i...

Evaluate the following integrals :
` int cos^(2) theta d theta `

Text Solution

Verified by Experts

The correct Answer is:
` 1/2 (theta + 1/2 sin 2 theta )+c`
Promotional Banner

Topper's Solved these Questions

  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Short Answer Type Questions|42 Videos
  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|15 Videos
  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise EXERCISE (Multiple Choice Questions )|14 Videos
  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type-|2 Videos
  • INCREASING AND DECREASING FUNCTION

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals : int cot^(2) theta d theta

Evaluate the following intergrals : int sec^(3) theta d theta

Evaluate the following integrals : int (cos^(3) theta - 3 cos theta sin^(2) theta) d theta

Evaluate the following integrals : int ( sin theta + cos theta )/(sqrt(1+sin 2 theta )) d theta

Evaluate the following (sin theta +cos theta )^(2) +(sin theta -cos theta )^(2)

Evaluate: int sqrt(cot theta) d theta

Find the equation of normal at the specified point on each of the following curves : x= 3 cos theta- cos^(2) theta, y = 3 sin theta - sin^(3)theta " at " theta=(pi)/(4)

Prove the following identities : (sin theta +sin 3 theta + sin 5 theta + sin 7theta)/(cos theta + cos 3 theta + cos 5 theta + cos 7 theta)=tan 4 theta

Prove the following identities: (sin theta-cos theta+1)/(sin theta+cos theta-1)=(1+sin theta)/(cos theta)

Evaluate , int sec ^(2) theta "cosec"^(2) theta d theta

CHHAYA PUBLICATION-IDENFINITE INTEGRAL -Very short Answer Type Questions
  1. Integrate each of the following functions w.r.t . X : 1/(sqrt(x)) (...

    Text Solution

    |

  2. Evaluate : int e^(3 log x)dx

    Text Solution

    |

  3. Evaluate : int ((e^(5x)-2e^(3x)+3))/(e^(x)) dx

    Text Solution

    |

  4. Evaluate : int (e^(5x)+e^(3x))/(e^(x)+e^(-x)) dx

    Text Solution

    |

  5. Evaluate : int (e^(2logx)- 2e^(-3 log x) ) dx

    Text Solution

    |

  6. Evaluate : int e^(-4x) dx

    Text Solution

    |

  7. Integrate : int 5^(2x)dx

    Text Solution

    |

  8. Integrate : int(x^(4)+4^(x))dx

    Text Solution

    |

  9. Integrate : int ( e^(x log a ) + e^(a logx)) dx

    Text Solution

    |

  10. Evaluate the following integrals : int sin^(2) 2x dx

    Text Solution

    |

  11. Evaluate the following integrals : int (2 tan x )/(1+ tan ^(2) x )...

    Text Solution

    |

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

    Text Solution

    |

  13. Evaluate the following integrals : int sec x ( sec x + tan x ) dx

    Text Solution

    |

  14. Evaluate the following integrals : int " cosec " x ( " cosec " x -...

    Text Solution

    |

  15. Evaluate the following integrals : int cot^(2) theta d theta

    Text Solution

    |

  16. Evaluate the following integrals : int cos^(2) theta d theta

    Text Solution

    |

  17. Evaluate the following integrals : int (1+tan^(2)x)/(1+cot^(2) x ...

    Text Solution

    |

  18. Evaluate the following integrals : int (sec x + 2 cot ^(2) x + cos...

    Text Solution

    |

  19. Evaluate the following integrals : int (sec^(2) x ) /("cosec"^(2) ...

    Text Solution

    |

  20. If (dy)/(dx) =2x^(2) - 3 at any point (x,y) on a curve , find the equ...

    Text Solution

    |