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Evaluate the following definite integral. 5(1 + 1/u + 1/u^2)du between (5,7)Question
Evaluate the following definite integral.
5(1 + 1/u + 1/u^2)du between, (5,7)
5(1 + 1/u + 1/u^2)du between, (5,7)
Answers
Reiny
∫5(1+1/u + 1/u^2) du from 5 to 7
= 5[u + ln u -1/u] from 5 yo 7
= 5( 7 + ln7 - 1/7 - (5 + ln5 - 1/5)
= 5(2 + ln7 - ln5 -1/7 + 1/5)
= 10 +2/7 + 5ln 7 - 5ln5
= appr 11.97
= 5[u + ln u -1/u] from 5 yo 7
= 5( 7 + ln7 - 1/7 - (5 + ln5 - 1/5)
= 5(2 + ln7 - ln5 -1/7 + 1/5)
= 10 +2/7 + 5ln 7 - 5ln5
= appr 11.97