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    Hi guys
    Im doing q8 iv in the paper below. I generally get these questions wrong. The style is 'find the area under the curve f(x) between 2 points'. Then the following question says find the area under the curve g(x) which is a translation of the curve f(x). Is there some general rule for finding the area??

    ( http://www.mei.org.uk/files/papers/c3_paper_jan13.pdf)

    in this example i cant see why i should 1 x pi/4 to the answer

    thanks for any help
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    (Original post by starwarsjedi123)
    Hi guys
    Im doing q8 iv in the paper below. I generally get these questions wrong. The style is 'find the area under the curve f(x) between 2 points'. Then the following question says find the area under the curve g(x) which is a translation of the curve f(x). Is there some general rule for finding the area??

    ( http://www.mei.org.uk/files/papers/c3_paper_jan13.pdf)

    in this example i cant see why i should 1 x pi/4 to the answer

    thanks for any help
    g(x) is a translation of f(x) \frac{\pi}{4} to the right and 1 up.

    So the area under g(x) between \frac{\pi}{4} and \frac{\pi}{2} is clearly the same as the area under f(x) between 0 and \frac{\pi}{4}, if g(x) is just f(x) shifted to the right.

    But g(x) is also f(x) shifted 1 up and so this creates a rectangle with dimensions 1
    and \frac{\pi}{4} underneath it, so you add this on.
 
 
 
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