Mathematics: What happens when you apply the power rule for integration to the function f(x)=1/x?

What happens when you apply the power rule for

Ответ:

6lost6soul6

05.01.2022

The power rule that applies to $f(x)= \frac{1}{x}$ is $f(x)= x^{-1}$

Integrating $\int\ {x^{-1} } \, dx$ will give the effect of
$\frac{x^{-1+1} }{-1+1} = \frac{ x^{0} }{0}$ , which is undefined since we cannot divide by '0'

The conclusion is that to integrate $f(x)= \frac{1}{x}$ we don't use the power rule. We use instead
$\int\ { \frac{1}{x} } \, dx =ln(x)$

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Ответ:

clarkster112679

25.05.2022

Mathematics

If the number of adult tickets are taken as x then the number of children’s tickets can be taken as (89 — x ) then we can set up the equation

4.10(x) + 2.70 (89 — x) = 331.30
4.10x + 240.3 — 2.70x = 331.30
1.4x = 331.30 — 240.30
1.4x = 91
X = 65

Therefore 65 adult tickets and 24 children tickets as 89 — 65 is 24

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What happens when you apply the power rule for integration to the function f(x)=1/x?

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