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3 years ago

Evaluate the indefinite integral of: arctan(4x) dx.

Mathematics

2 answers:

DerKrebs [107]3 years ago

7 0

Answer:

Base on the image that you attached that is composed of a diagram that explains and ask to evaluate the indefinite integral of ArcTan(4x)dx, I conclude and formulate some equation that would become a solution of this problem and the outcome to that is 4ln(u)+c, I hope you are satisfied with my answer.

Step-by-step explanation:

S_A_V [24]3 years ago

4 0

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Solve. 90<img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle" class="latex-formula"> = 27.

Irina-Kira [14]

Answer: $x$ ≈ $0.732$

Step-by-step explanation:

You need to find the value of the variable "x".

To solve for "x" you need to apply the following property of logarithms:

$log(m)^n=nlog(m)$

Apply logarithm on both sides of the equation:

$90^x=27\\\\log(90)^x=log(27)$

Now, applying the property mentioned before, you can rewrite the equation in this form:

$xlog(90)=log(27)$

Finally, you can apply the Division property of equality, which states that:

$If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}$

Therefore, you need to divide both sides of the equation by $log(90)$ . Finally, you get:

$\frac{xlog(90)}{log(90)}=\frac{log(27)}{log(90)}\\\\x=\frac{log(27)}{log(90)}$

$x$ ≈ $0.732$

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Fiesta28 [93]

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Step-by-step explanation:

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Jan Quint ears 7dolllars an at her job and time and a half for overtime and double time for holidays last week she worked 40 reg

Sindrei [870]

-------------------------------------
Regular Pay:
-------------------------------------
$7 x 40 = $280

-------------------------------------
Overtime Pay:
-------------------------------------
1.5($7) x 9 = $94.50

-------------------------------------
Holiday Pay:
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2($7) x 12 = $168

-------------------------------------
Total:
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$280 + $94.50 + $168 = $542.50

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Answer: She earned $542.50 last week.
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4 years ago