1/2 times the integral of 1/x is 1/2 lnx however when i integrate the same problem as 1/2x and set u to 2x, I get 1/2 ln2x Why are the answers not the same?
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Originally Posted by Simon777 1/2 times the integral of 1/x is 1/2 lnx however when i integrate the same problem as 1/2x and set u to 2x, I get 1/2 ln2x Why are the answers not the same? they are the same antiderivatives . (1) (2) they only differ by a constant.
Originally Posted by skeeter they are the same antiderivatives . (1) (2) they only differ by a constant. So the ln2 is just taken out because it can be put in with the constant right?
Originally Posted by Simon777 1/2 times the integral of 1/x is 1/2 lnx however when i integrate the same problem as 1/2x and set u to 2x, I get 1/2 ln2x Why are the answers not the same? Remember that anti derivatives are only unique upto a constant. If you use the FTC you will get the same number out i.e Or using the other def you get they are the same
Originally Posted by TheEmptySet Shouldn't that answer be 1/2 ln2 or ln square root of 2?
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