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PSYCHO15rus [73]
4 years ago
8

Find the error in the student's calculation. 2 cubed (2 minus 4) + 5 (3 minus 8). 2 cubed (negative 2) + 5 (5). 8 (negative 2) +

25. Negative 16 + 25. 9.
Mathematics
2 answers:
bearhunter [10]4 years ago
7 0

Answer:

HIII

         The answer is B!

                                             HOPE THIS HELPED!!!!!

Sergeu [11.5K]4 years ago
3 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question:

Find the error in the student's calculation. 2 cubed (2 minus 4) + 5 (3 minus 8). 2 cubed (negative 2) + 5 (5). 8 (negative 2) + 25. Negative 16 + 25. 9.

The student's error occurred here :

2 cubed (negative 2) + 5 (5)

(3 - 8) will give - 5 and not 5 as Witten by the student. The correct working is stated below :

2³(2 - 4) + 5(3 - 8)

Step 1:

8(-2) + 5(-5)

Step 2:

-16 + - 25

Step 3:

-41

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Step2247 [10]

Answer:

\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=-\dfrac{2}{x+1}+\text{C}

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.

<u>Given integral</u>:

\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x

Factor the denominator:

\begin{aligned}\implies x^2+2x+1 & = x^2+x+x+1\\& = x(x+1)+1(x+1)\\& =  (x+1)(x+1)\\& =  (x+1)^2\end{aligned}

\implies \displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=\int \dfrac{2}{(x+1)^2}\:\:\text{d}x

\textsf{Apply exponent rule} \quad \dfrac{1}{a^n}=a^{-n}

\implies \displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=\int 2(x+1)^{-2}\:\:\text{d}x

\boxed{\begin{minipage}{4 cm}\underline{Integrating $ax^n$}\\\\$\displaystyle \int ax^n\:\text{d}x=\dfrac{ax^{n+1}}{n+1}+\text{C}$\end{minipage}}

Use <u>Integration by Substitution</u>:

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Therefore:

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Learn more about integration here:

brainly.com/question/27988986

brainly.com/question/27805589

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