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VladimirAG [237]
3 years ago
15

Need help asap MIDSEGMENTS will give BRAINLIEST

Mathematics
1 answer:
olganol [36]3 years ago
3 0

Answer:

ggggggggggggggggggggggggggggggg

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Integration of (3X(X^2+3)^4) dx<br><img src="https://tex.z-dn.net/?f=%20" id="TexFormula1" title=" " alt=" " align="absmiddle" c
dimaraw [331]

Answer:


Step-by-step explanation:

\int 3x(x^2+3)^4 \ dx.

It is apparently obvious we could expand the bracket and integrate term-by-term. This method would work but is very time consuming (and you could easily make a mistake) so we use a different method: integration by substitution.

Integration by substitution involves swapping the variable x for another variable which depends on x: u(x). (We are going to choose u for this question).

The very first step is to choose a suitable substitution. That is, an equation u=f(x) which is going to make the integration easier. There is a trick for spotting this however: if an integral contains both a term and it's derivative then use the substitution u=\text{The Term}.

Your integral contains the term x^2 + 3. The derivative is 2x and (ignoring the constants) we see x is also in the integral and so the substitution u=x^2+3 will unravel this integral!

Step 2: We must now swap the variable of integration from x to u. That means interchanging all the x's in the integrand (the term being integrated) for u's and also swapping (dx" to "du").

u=x^2+3 \Rightarrow \frac{du}{dx}=2x \Rightarrow dx = \frac{1}{2x} du

Then,

\int 3x(x^2+3)^4 \ dx = \int 3x \cdot u^4 \cdot \frac{1}{2x} du = \int \frac{3}{2}u^4\ du.

The substitution has made this integral is easy to solve!

\int \frac{3}{2}u^4\ du= \frac{3}{10}u^5 + C

Finally we can substitute back to get the answer in terms of x:

\int 3x(x^2+3)^4 \ dx = \frac{3}{10}(x^2+3)^5+C

8 0
3 years ago
True or False: When we convert a decimal to a percent we are multiplying the decimal by 100.
mariarad [96]
The answer is true :)
3 0
3 years ago
Which expressions are equivalent to 2-(-6+3)+4c
Artyom0805 [142]

Answer:

c. none of the above

Step-by-step explanation:

(-6+3)= -3

2--3=2+3=5

5+4c cant add them since they arent like terms

final answer 5+4c and that option isnt here

3 0
3 years ago
Please help me with this I'm confused.
BARSIC [14]

Answer:

B

Step-by-step explanation:

The answer would be anything LESS than ten, thats what the < means

8 0
3 years ago
Read 2 more answers
If 3\7 =B\15 ,, so then b= A) 1.4 B) 6.43 C) 35 D) 7 so what is the answer
dezoksy [38]
The answer will be B) 6.43 because in order to find b you have to cross multiply and divide. 15 times 3 divided by 7 equals 6.43 if you round
5 0
4 years ago
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