Question

\int_1^e \left( x - \frac{5}{x} \right) dx =

          \int_1^e \left( x - \frac{5}{x} \right) dx =

∫1^e ( x - (5)/(x) ) dx =

Added by Gregg P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

05/31/2022

Step 1

The antiderivative of x with respect to x is (1/2)x^2, and the antiderivative of 5/x with respect to x is 5ln|x|. Therefore, the antiderivative of the given function is (1/2)x^2 - 5ln|x|. Show more…

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int_1^6 (x-(5)/(x))dx= e^(2)-(11)/(2) (1)/(2)e^(2)-(9)/(2) (1)/(2)e^(2)-(3)/(2) (1)/(2)e^(2)-(11)/(2) = xp X 11 2 1 12 2 e 312 2 11 112 2

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