1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zloy xaker [14]
3 years ago
13

How do you integrate

le="(3x^{2} + 3) ^{3} " alt="(3x^{2} + 3) ^{3} " align="absmiddle" class="latex-formula">
?​

Mathematics
1 answer:
Phoenix [80]3 years ago
8 0

Answer:

Since i don't know what formula is mentioned. I just used the easiest way to solve :)

Step-by-step explanation:

(3x^2 + 3)^3 = (3x^2)^3 + 3^3 + 3((3x^2)^2)(3) + 3(3x^2)(3^2)

              = 27x^6 + 27 + 3(9x^4 \times 3) + 3(3x^2 \times 9)\\\\=27x^6 + 27 + 81x^4 + 81x^2\\\\=27x^6  + 81x^4 + 81x^2 + 27\\\\

\int\limits {(3x^2+3)^3} \, dx  = \int\limits {27x^6 + 81x^4+81x^2 + 27} \, dx

                      = \frac{27}{7}x^7 + \frac{81}{5}x^5+\frac{81}{3}x^3 + 27x +C\\\\= \frac{27}{7}x^7 + \frac{81}{5}x^5+27x^3 + 27x +C\\\\

You might be interested in
What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply.
irga5000 [103]

Answer:

B.The exponent of the solution is –12, the difference of the original exponents.

C.The coefficient of the solution must be greater than or equal to one but less than 10.

D.The quotient is 3.0 ×

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Will mark brainliest and thank you!!! Please help!
Usimov [2.4K]
The correct answer is maybe 3
7 0
3 years ago
Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the
LuckyWell [14K]

Answer:

1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3

2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15

3. x=3 is the line of symmetry of h(x), shown in the graph.

Step-by-step explanation:

To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero.  This is a vertical line passing through the vertex of the second degree function.

1. f(x) = -4(x − 8)2 + 3

setting x=8 will give f(8) = 3, so x=8 is the line of symmetry

2. g(x) = 3x2 + 12x + 15

here, we need to complete the squares,

g(x) = 3x2 + 12x + 15

g(x) = 3(x^2+4x+5)

g(x) = 3(x^2 + 2(2x) +4 +1)

g(x) = 3((x+2)^2 +1)

So setting x=-2 will anihilate or cancel the squared term, therefore

x= -2 is the line of symmetry.

3. the curven shown in graph,

we see that the vertex is at x=3, so x=3 is the line of symmetry.

5 0
3 years ago
What is the absolute value of 3 above par
lubasha [3.4K]
The absolute value of 3 above par means any value more than the absolute value of 3. The absolute value of 3 is (+) 3 since an absolute value of a number cannot be negative. Above par means positive (+), so more than the specified value of 3. <span />
6 0
2 years ago
Read 2 more answers
What is the greatest common factor of the pair of numbers?
geniusboy [140]
The answer is 66.
66 * 3 = 198
66 * 5 = 330
3 0
3 years ago
Other questions:
  • Solve and graph the equation x2+x-6=0
    12·1 answer
  • Which least to greatest 125% 6/5 1.22
    12·1 answer
  • Use 1 stone  = 14 pounds  to convert 13  stones  into  pounds​
    11·1 answer
  • Nancy has a home-based business making and selling scented soaps. She intially spent $55 to purchase soap-making equipment, and
    6·1 answer
  • It takes a plane 3.5 hours to fly 2,345 miles and 2 hours to fly 860 miles
    7·2 answers
  • Dilation with a scale factor of 0.75.
    9·2 answers
  • PLS HELP. I dont understand math
    11·1 answer
  • the area of a rectangle is the same as the area of a square of side 12cm if the rectangle is 16cm long find its width​
    8·1 answer
  • Which is the correct rule to use when converting the complex number z = a + bi to polar coordinates?
    7·1 answer
  • The quotient of 3 and the cube of a number
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!