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Llana [10]
3 years ago
6

Integrate the following. ∫

" align="absmiddle" class="latex-formula">
Option A: x^{5}
Option B: 5x^{5} +C
Option C:5x^{5}
Option D: x^{5} + C
Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
8 0
D is the best option in my opinion hope you get it correct
Vadim26 [7]3 years ago
7 0

Answer:

\displaystyle D)  {x}^{5}  +  \rm C

Step-by-step explanation:

we would like to integrate the following Integral:

\displaystyle \int 5 {x}^{4} \, dx

well, to get the constant we can consider the following Integration rule:

\displaystyle \int c{x} ^{n}  \, dx  =  c\int  {x}^{n}  \, dx

therefore,

\displaystyle 5\int  {x}^{4} \, dx

recall exponent integration rule:

\displaystyle \int {x} ^{n}  \, dx  =  \frac{ {x}^{n + 1} }{n + 1}

so let,

  • n = 4

Thus integrate:

\displaystyle  =  5\left( \frac{ {x}^{4+ 1} }{4 +  1}  \right)

simplify addition:

\displaystyle  =  5\left( \frac{ {x}^{5} }{5}  \right)

reduce fraction:

\displaystyle  =  {x}^{5}

finally we of course have to add the constant of integration:

\displaystyle  \boxed{ {x}^{5}  +  \rm C}

hence,

our answer is D)

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Ilia_Sergeevich [38]

Hey there!☺

Answer: (-∞, 5)

Explanation:

You need to convert the inequality as an interval notation.

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(-∞, 5)

Hope this helps!

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Answer:

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Find the value of n:<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B11%7D%20%3D%20%5Cfrac%7B3.5%7D%7B7%7D" id="TexFormul
EastWind [94]

The value of n from the given expression is 5.5

<h3>Solution to linear equation and fractions</h3>

Fractions are expression written as a ratio of two integers. The linear equation on the other hand has a leading degree of 1.

Given the equation below;

n/11 = 3.5/7

Simplify to have

n/11 = 1/2

Cross multiply the given result to have:

11 = 2n

Swap

2n = 11

Divide both sides by 2 to have;

2n/2 = 11/2

n = 5.5

Hence the value of n from the given expression is 5.5

Learn more on linear equation and fraction here: brainly.com/question/11955314

#SPJ1

8 0
1 year ago
PLEASE HELP!!! I WILL GIVE BRAINLIEST!! 98 POINTS!! Fake answers will get reported. ONLY QUESTIONS
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mars1129 [50]

Answer:

ln(x) = 1/x... It's a basic rule of Calculus.

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