What is area y= 1/x ,y=0,x=1,x=e ?

The answer to area y= 1/x ,y=0,x=1,x=e is 1

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area y= 1/x ,y=0,x=1,x=e

area

y = \frac{1}{x}, y = 0, x = 1, x = e

1

Solution steps

Apply the area formula:

\int_{1}^{e} \frac{1}{∣ x ∣} d x

Solve

\int_{1}^{e} \frac{1}{∣ x ∣} d x : 1

The area is:

= 1

\int \frac{5}{( 81 + x ^{2} ) ^{\frac{3}{2}}} d x

\frac{4}{x ^{6}}

\frac{\partial}{\partial x} (\frac{x}{x ^{7} - y ^{5}})

x \to 0 + lim (e^{3 x l n (x)})

(arctan (6 x))^{2}