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2 years ago

Evaluate 3-(5-10)-7+1-6

Mathematics

1 answer:

Sedaia [141]2 years ago

7 0

Answer:

$- 4$

Step-by-step explanation:

1) Simplify 5 - 10 to -5.

$3 - ( - 5) - 7 + 1 - 6$

2) Remove parentheses.

$3 + 5 - 7 + 1 - 6$

3) Simplify 3 + 5 to 8.

$8 - 7 + 1 - 6$

4) Simplify 8 - 7 to 1.

$1 + 1 - 6$

5) Simplify 1 + 2 to 2.

$2 - 6$

6) Simplify.

$- 4$

Therefor, the answer is -4.

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Andreyy89

Answer:

$\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx}= x - \ln(1 + e^{x}) + C\end{aligned}$ .

Step-by-step explanation:

The first derivative of the denominator $1 + e^{x}$ is $e^{x}$ . Rewrite the fraction to obtain that expression on the numerator.

$\begin{aligned}\frac{1}{1 + e^{x}} &= \frac{1 + e^{x}}{1 + e^{x}} - \frac{e^{x}}{1+e^{x}}\\&=1-\frac{e^{x}}{1+e^{x}}\end{aligned}$ .

In other words,

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$\displaystyle \int{\frac{e^{x}}{1+e^{x}}\cdot dx} = \int{\frac{du}{u}} = \ln{|u|} = \ln{u} +C = \ln{(1+e^{x})}+C$ .

Therefore

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Thank you for posting your question. I hope you found you were after. Please feel free to ask me another.

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