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hi there now if youd like to try this question were were given the first differential of f of X and were asked to find f of X so just give you a moment to pause the video if youd like to try it and when you come back Ill take you slowly through the work solution okay welcome back then if you had a go so in order to find f of X Y being equal to f of X since I know what f of X differentiated is its up here then to work backwards Ive got to integrate this so Ive got to integrate 3/8 of x squared minus the 10 X to the power minus 1/2 and then plus 1 theres more than one term here so put that in brackets and were integrating it all with respect to X an unusual way assuming that you are ok with integration we just have 1 to the power and divide by the new power so for this one weve got 3/8 times and if we have 1 to the power of x squared youve got X cubed and you divide by the new power so youve got 3/8 times X cubed over 3 for the next one weve got minus 10 and if we have 1