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2 years ago

cho hàm số f(x) liên tục trên đoạn [a;b] và có nguyên hàm F(x) thỏa F(a)=10;F(b)=2022 Khi đó \int _a^b\: f(x) dx bằng

Mathematics

1 answer:

SpyIntel [72]2 years ago

4 0

The result follows from the fundamental theorem of calculus.

$\displaystyle \int_a^b f(x) \, dx = F(b) - F(a) = 2022 - 10 = \boxed{2012}$

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<h3>Given :</h3>

Distance = 175
Time 1 = 4 hours

$\\ \\$

Different between two speeds when distance is same.

$\\ \\$

<h3>Solution:</h3>

In first part we will find speed 1 in which time is 4 hours

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$\dashrightarrow\sf speed_1 = \dfrac{distance}{time_1}$

$\\ \\$

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$\\ \\$

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$\bigstar \boxed{ \rm speed = \frac{distance}{time} }$

$\\ \\$

$\dashrightarrow\sf speed_2 = \dfrac{distance}{time_2}$

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$\\ \\$

So :

$\dashrightarrow\sf Difference = speed_2 - speed_1 \\$

$\\ \\$

$\dashrightarrow\sf Difference =58.33 - 43.75\\$

$\\ \\$

$\dashrightarrow\bf Difference =14.58kmh^{-1}\\$

$\\ \\$

$\therefore \underline {\textsf{\textbf{Difference in speed between two cars is \red{14.58km/h}}}}$

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