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integral thing again with changing limit watch

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    There was a question that asked for the integral of cos2teta between limites of 1 and 2
    Now before that they gave a subst of x=TAN teta which lead to the cos2Teta

    I integrated the cos2teta and put my limts as 1 and 2 instead, and then solved that!
    I forgot to change the limites using the X=Tan Teta
    The question was for 3 marks, the integral of the cos2teta and subsequent answer, would I get 1/3?Or 2?
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    Lemmie just add on
    another question asked for the solution of of a cos^4x thingy.
    I got it as cos^4x=something
    and the found the forth root of that something, but silly me forgot to put plus or minus
    I then found the values for x from 0 to 360 as they told me
    The question was for 4 marks, how much would I get as I only found the values in the positive ?
    2/4?
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    bump!
 
 
 
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Updated: June 5, 2005

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