Question

estimate the area under the graph of f(x)=1/x from x=1 to x=5

Answer 1

Answer:

i think i can't give answer

Answer 2

SOLUTION

TO DETERMINE

Estimate the area under the graph of f(x) = 1/x from x = 1 to x = 5

EVALUATION

Here the given equation of the curve is f(x) = 1/x

We have to estimate the area under the graph of f(x) = 1/x from x = 1 to x = 5

The required area

$\displaystyle \sf = \int\limits_{1}^{5} \frac{1}{x} \, dx$

$\displaystyle \sf{ = ln(x) \bigg|_0^5}$

$\displaystyle \sf = ln(5) - ln(1)$

$\displaystyle \sf = ln(5) - 0$

$\displaystyle \sf = ln(5)$

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