Prometheus83 Posted July 2, 2005 Share Posted July 2, 2005 Hi, Wondering if someone could point me in the right direction for this question. It is an assignment question, so I don't want the answer, just some help and point in the right direction. Heres what I have so far: Find indefinite integral of: h(u) = sin^2 ( 1/6 u ) Now I'm presuming I need to use the double angle formula cos(2x) = 1 - 2sin^2 x to which I have: sin^2 x = 1/2 (1 - cos (2x)) sin^2 (1/6 u ) = 1/2 (1 - cos (2 (1/6 u)) Therefore I get the answer integral sin^2(1/6u) = integral (1/2 - 1/2 cos (2 (1/6 u ))) =1/2x - 3/2 sin (1/3 u ) + c Is that anywhere close? Link to comment Share on other sites More sharing options...
Dave Posted July 2, 2005 Share Posted July 2, 2005 That's on the right track. I've not gone through it to check exact numbers etc, but the logic is reasonably correct. Link to comment Share on other sites More sharing options...
Prometheus83 Posted July 2, 2005 Author Share Posted July 2, 2005 Cheers Link to comment Share on other sites More sharing options...
Pat Says Posted July 3, 2005 Share Posted July 3, 2005 I checked it, nothing wrong at all. Link to comment Share on other sites More sharing options...
CPL.Luke Posted July 8, 2005 Share Posted July 8, 2005 "integral sin^2(1/6u) = integral (1/2 - 1/2 cos (2 (1/6 u ))) =1/2x - 3/2 sin (1/3 u ) + c " you added in a variable x, just nitpicking though, I'm sure you meant to say u Link to comment Share on other sites More sharing options...
kingjewel1 Posted July 9, 2005 Share Posted July 9, 2005 yep fine. BE Careful with changing your letters. (in math examiner mode ) they need to see what you're integrating with respect to. ie in this case is it dx or du? only coving your back! Link to comment Share on other sites More sharing options...
Prometheus83 Posted July 10, 2005 Author Share Posted July 10, 2005 hehe, cheers. Its already been handed in, using x instead of u. Knowing my tutor I'll loose that mark for changing the letters, ah well. Thanks for your help Link to comment Share on other sites More sharing options...
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