Evaluate x[tex]x^{2} \sqrt{(x^3+9)}[/tex]with subsititution using u=x^3+9

Answers

Answer 1

It sounds like you're talking about an integral, namely

[tex]\displaystyle\int x^2\sqrt{x^3+9}\,\mathrm dx[/tex]

Substitute u = x ³ + 9, so that du = 3x ² dx. Then

[tex]\displaystyle\int x^2\sqrt{x^3+9}\,\mathrm dx=\frac13\int\sqrt{u}\,\mathrm du=\frac13\times\frac23u^{\frac32}+C=\boxed{\frac29(x^3+9)^{\frac32}+C}[/tex]


Related Questions

common factor of 18 and 20​

Answers

Answer: is 2.

Step-by-step explanation:

Answer:

common factor of 18 is 1 2 3 6 9 18

common factor of 20 is 1 2 4 5 20

1 2

hope it is helpful to you

Help me I need to finish this today

Answers

Answer:

24 glasses

Step-by-step explanation:

Answer is D

1/8 x 24= 3

In the image below, the length of the arc defined by the sector is

Answers

Answer:

10pi feet

Step-by-step explanation:

The formula for arc length (degrees) is: 2pi x radius x angle/360

2pi x 30 x 60/360

60pi x 1/6

10pi

For the following right triangle, find the side length x.
X
12
35
help pls

Answers

Answer:

the length of side X is 37

I'll add a photo of the problem! ​

Answers

I’m pretty sure it is D ngl

pls help!
find the area

Answers

Answer:

Area of circle = πr²

22/7*11*11

2662/7

380.13 in² is your answer ☺️☺️☺️

Can u please give me the real answer I really need help☹️

Answers

Answer:

12,000 g = 12000000 kg

120 cm = 1200 mm

1.2 L = 1200 L

1200 cm = 12 m

0.12 m = 120 mm

An international company has 22,900 employees and one country. If this represents 21.6% of the companies employees how many employees does it have in total? Round answer to the nearest whole number.

Answers

22900 / .216 = 106018.5185
answer is 106,019 employees

Two accounts earn simple interest . The balance y in dollars in account A after x years can be modeled y = 20x + 400

Answers

Send me jelly please


helppppppppppppppppppppppppp

Answers

Your answer is 40mm

3+12+12+13
=40

Answer:

The perimeter of this figure is 40 milimeters.

Step-by-step explanation:

Add all sides' lengths:

3+ 12 + 12+ 13 = 40

Please help please help if you put a link I will report

Answers

Answer:

i think it is 13 per

pls mark branlyest

Step-by-step explanation:

Solve if you want cookie!

Answers

Step-by-step explanation:

[tex]y = 2x \: \: \: \: x + y = 6 \\ y = 2x \: \: \: \: x = 6 - y \\ y = 2(6 - y) \: \: \: \: x = 6 - y \\ 3y = 12 \: \: \: \: x = 6 - y \\ y = 4 \: \: \: \: x = 2[/tex]

Gimme tha cookie

which two quadrilaterals have 4 congruent sides

Answers

Answer:

rhombus and parallelogram .

Step-by-step explanation:

It’s a rhombus and parallelogram.

Hope this helps! :)

Which number is the additive inverse of
-472
-44
1
45

Answers

The additive inverse of a number ‘a’ is the number that, when added to ‘a’, yields zero. This number is also known as the opposite (number), sign change, and negation.

-472 would be 472

-44 would be 44

1 would be -1

45 would be -45

Find the value of x in the triangle shown below 6 2

Answers

Answer:

x = 2√10  =   6.325

Step-by-step explanation:

a² +b² = c²      a = 6     b = 2    c = x

c = √(a² +b²)

c = √(6² +2²)

c = √(36 +4)

c = √(40)

c = 2√10        

What's a range? Please help me​

Answers

Step-by-step explanation:

the area of variation between one place of one point to another place of another point of cup is called range.

hope it is helpful to you

What do you get when you round 2932.62 to the nearest hundredth please provide step by step explanation too.

Answers

30,000
Hope that helped :)

Answer:

you get 2932.6

Step-by-step explanation:

you basically just round it down because it isn't 5 or above.

please mark brainliest

HELP PLS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.​​​​

Answers

Answer:

area = 255 [tex]m^{2}[/tex]

perimeter = 20+6.7+8+8+15+26 = 83.7m

Step-by-step explanation:

top left triangle - base is 3 because (20-8-9).  so 1/2 bh = 1/2 (3) (6) = 9

left rectangle = l x w = 20 x 6 = 120

middle square = l x w = 8 x 9 = 72

lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54

9+120+72+54 = 255

solve the rational equation
X+3/ 3x -2 - x-3/3x+2=176/9x^2-4

Answers

Answer:

8

i hope this will help you

Which best describes the solutions to the system?

x + y=− 4
−2x − 2y =0


A one solution
B (0,0)
C no solution
D infinitely many

Answers

Answer:

A best descibes it as we can say its the only answer

Step-by-step explanation:

using symaltaneous equation is the only way to solve it

If the Volume of a Cylinder is 25*pi* and the radius is 4, what is the height "h"?
Round your answer to the nearest tenth if needed.

Answers

Answer:

The height of the cylinder is 0.497.

Step-by-step explanation:

Given that the Volume of a cylinder is 25 and the radius is 4, to determine what is the height of said figure, the following calculation must be performed, knowing that the volume of a cylinder is calculated using the following formula (3.14 x r^2 x h = X):

3.14 x (4x4) x h = 25

3.14 x 16 x h = 25

50.24 x h = 25

h = 25 / 50.24

h = 0.497

Therefore, the height of the cylinder is 0.497.

Guyyyysss ;( please help me with this

Answers

I think it’s A. I don’t know if i’m right but that’s what I would put.

Answer: A) 2+3i

Step-by-step explanation:

Given

2-3i

Solve:

The formula for quadratic function: x=[-b±√(b²-4ac)]/2a

Through the formula, we get two solutions. One of them is 2-3i.

Since the first part is (something)±(something), the other solution will be 2+3i

Hope this helps!! :)

Please let me know if you need further explanations

1) Red City is 6 cm away from Blue City on a map but the two cities are actually 240 miles
apart in real. What is the scale on the map?

Answers

You divide 240 miles by 6 cm so you can figure out how many miles are in each centimeter. So 240/6=40 miles. The scale is for every one centimeter, that is 40 miles.

help me answer this question please​

Answers

Answer:

x = 12 ft, y = 24 ft

12 ft x 24 ft

Step-by-step explanation:

12 x 24 = 288 ft²

2(12) + 24 = 48 ft fencing


4, 2, 1, 2, ...
O Arithmetic
O Geometric
O Neither

Answers

Answer:

Step-by-step explanation:

Neither...there is no common difference nor a cmon ratio do neither

The length of rectangular garden is 3 feet longer than the width. If the area of the garden is 40 square feet, find the length and width of the garden.

The length is _____________ ft

The width is ______________ ft

Answers

Answer:

length = 8 ft

width = 5 ft

Step-by-step explanation:

width = w

length = w + 3

Area of rectangular garden = 40 square feet

length  *width = 40

(w + 3) *w = 40

w*w + 3*w = 40

w² + 3w = 40

w² + 3w - 40 = 0

w² + 8w - 5w - 8*5 = 0

w(w + 8) - 5 (w +8) =0

(w + 8) (w - 5) = 0

w - 5 = 0       {Ignore w + 8 =0, as measurement will not be in -ve}

w = 5 ft

l = 5 + 3

l = 8 ft

whats 21(2 - m) + 12m = 44. please

Answers

Answer:

= − 2 /9

Step-by-step explanation:

PLEASE HELP ME TO SOLVE THIS QUESTION WITH STEP-BY-STEP. THANK YOU!!!​

Answers

Answer:

A) 12 thousand packets a day

B) 384 thousand Sen

Step-by-step explanation:

If the total is 72 thousand a week and the factory only operates 6 days, then you do 72 thousand / 6 to get 12 thousand, the packets made in one day.

To get b, all you have to do is do 32 Sen X 1w thousand to get the value of all the packets of chips

A resort hotel rents bicycles for 20 plus and hourly rate of $6. A nearby hotel rents bicycles for 15$ plus an hourly rate of $8​

Answers

What are you trying to slove?

what is the lateral area of the cone? 10 yd and 12.1 yd

Answers

Answer:

The lateral area will be "381 yd²". A further solution is provided below.

Step-by-step explanation:

The given values are:

Radius of cone,

r = 10 yd

Height of cone,

L = 12.1 yd

As we know,

The lateral surface area of cone is:

=  [tex]\pi r L[/tex]

On substituting the values, we get

=  [tex]\frac{22}{7}\times 10\times 12.1[/tex]

=  [tex]\frac{22}{7}\times 121[/tex]

=  [tex]380.28 \ yd^2[/tex]

0r,

=  [tex]381 \ yd^2[/tex]

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