Asked by Karen

Evaluate the integral. HINT [See Example 3.] (Remember to use ln |u| where appropriate.)


(4/x - 1/4x^5 + 1/2x^7)dx
Answered by Reiny
I read that as

(4/x - (1/4)x^5 + (1/2)x^7) dx

then integral would be

4ln|x| - (1/24)x^6 + (1/16)x^8 + c, where c is a constant.
Answered by Rachel
no it is just as the denominator is one with the variable 4x^5 and 2x^7 not 1/25 raised to the 6th or 1/2 raised to the 7th
Answered by Reiny
then you must put brackets around it like this ....

(4/x - 1/(4x^5) + 1/(2x^7))dx

integral would be

4ln|x| + 1/(16x^4) - 1/(12x^6) + c
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