The indefinite integral is - 1 / [5(6 + [tex]x^{5}[/tex])] + C.
An integral is considered to be indefinite if it has no upper or lower bounds. In mathematics, the most generic antiderivative of f(x) is known as an indefinite integral and expressed by the expression f(x) dx = F(x) + C. Without upper and lower bounds on the integrand, indefinite integrals are stated using the notation f(x), which represents the function as an antiderivative of F. Consequently, "f(x) dx=F" (x). As we observed in the same example with antiderivatives, the integral, x3 dx=14x4+C, is one example.
The area under the f(x) curve from x=a to x=b is represented by the definite integral of f(x), which is a NUMBER. Integral indefinite. An indefinite integral of a function f(x), also known as an antiderivative, is denoted by and its derivative is denoted by f. (x). The indefinite integral is not the only solution because the derivative of a constant is zero. Integration is the action of locating an indefinite integral.
Use a u-substitution with u = (6 + [tex]x^{5}[/tex])
du = 5[tex]x^{4}[/tex]dx
1/5 ∫ [tex]u^{-2}[/tex]du
= -1/5 [tex]u^{-1}[/tex] + C
= - 1 / [5(6 + [tex]x^{5}[/tex])] + C
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Correct Question:
Find the indefinite integral and check the result by differentiation. (Use C for the constant of integration.)
[tex]\int\limits^ {} \frac{x^{4} }{(6+x^{5})^{2} } dx[/tex]
Suppose a 16-sided die was rolled. Fill in the information [6 mks]
a. The probability of rolling a number greater than but not equal to 10 is _______ as a fraction, as a ratio _______ and as a percentage ____________
b. The odds in favour of rolling an even number less than or equal to 7 are ____ : ____ whereas the odds against rolling an even number less than or equal to 7 are ____ : ____
c. What are the odds in favour of rolling a number less than 5? ____ : ____
Answer:
No idea
Step-by-step explanation:
Madeline deposited $750 into an investment account that earns 1.5% interest compounded annually. If no deposits nor withdrawals are made, how much in dollars will be in the account after 15 years?
A $1,687.50
B $937.67
C $918.75
D $870.40
questions number 1
How much paper is used for the label of the container, which covers the lateral surface area of the cylinder? Round your answer to the nearest tenth.
question number 2
what volume of oats will fill the container? Round your answer to the nearest tenth.
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Answer:
145.3 square inches
Step-by-step explanation:
The lateral area of the cylinder is given by ...
LA = 2πrh
LA = 2π(2.5 in)(9.25 in) = 46.25π in²
LA ≈ 145.3 in²
About 145.3 square inches of paper is used for the label.
Question 6 (1 point)
Which point is not included in the solution set of the system of inequalities graphed below?
LOOK AT PICTURE
Which is equivalent to the expression?
(3x - 14)^2
a. 9x^2 - 84x + 196
b. 9x^2 + 84x + 196
c. 9x^2 + 196
d. 9x^2 - 196
Answer:
A
Step-by-step explanation:
(3x - 14)^2
9x^2 - 42x -42x +196
9x^2 - 84 +196 is the correct answer
The answer is not 15
The figure below consists of a triangle, a rectangle, and a trapezoid.
What is the area of the figure in square units?
A. 39
B. 37
C. 49
D. 42
Answer:
Area of the figure = 39 square units
Step-by-step explanation:
Find the diagram attached
Area of the triangle = 1/2 * base * height
Base of triangle = 4
Height = 1 + 5 = 6
Area of the triangle = 1/2 *4 * 6
Area of the triangle = 12units²
Area of rectangle = Length * Width
Length = 4
Width = 5
Area of rectangle = 4 * 5
Area of rectangle = 20units²
Area of trapezoid = 1/2(a+b)*h
a and b are the parallel sides
h is the height
a = 2
b = 5
h = 6-4 = 2
Area of trapezoid = 1/2(2+5)*2
Area of trapezoid = 1/2*7*2
Area of trapezoid = 7units²
Area of the figure = Area of the triangle +Area of the rectangle + Area of the trapezoid
Area of the figure = 12 + 20 + 7
Area of the figure = 39 square units
Which fraction is equivalent to 2/3? A. 4/9 B. 18/21 C.6/8 D. 16/24
Answer:
16/24
Step-by-step explanation:
2 x 8 = 16
3 x 8 = 24
Answer the question below.
Answer:
1/3
Step-by-step explanation:
A paper weight is made in the shape of a triangular pyramid. The dimensions of the paper weight are shown. A triangular pyramid. The base has a base of 9 centimeters and height of 6 centimeters. The height of the pyramid is 7 centimeters. [Not drawn to scale] The formula for the volume of a triangular pyramid is V = one-third B h. Which expression can be used to find the value of B, the area of the base of the pyramid? B = one-half (9) (6) B = (9) (6) B = one-third (9) (7) B = (9) (7)
Answer:
B=one half (9) (6)
Step-by-step explanation:
I took the test
8pq+20qr-16s factorise plz
Answer:
asd
Step-by-step explanation:
sadasdasdasdasnst465557
Answer:
Step-by-step explanation:
11 divided by 6 please help
Answer:
1.83 (the 3 keeps going so I simplified it)
Step-by-step explanation:
11/6 = 1.8333333333 (keeps going...)
:))
When f(x)= -4x + 7 ,find f(1)
Evaluate function for given value
Answer:
f(1)=3
Step-by-step explanation:
f(1)= -4(1)+7=3
HELP!!!
FIRST TO ANSWER GETS BRAINLEST!!!
Jack writes the following expression to compare the temperature on two winter days.
Choose >, < or = from the drop-down menu to make the statement true.
-2°C Choose...
-5°C
Answer:
-2 Celsius >-5 Celsius is the answer.
Answer:
-2 > -5
Step-by-step explanation:
think about which of the two numbers is nearest to 0
The sample mean is a statistic. True or false
Answer:
true
Step-by-step explanation:
what is the answer pss help mw | -4 | _____ -4
Larry read a 400-page book. He read at a rate of 10 pages per day for d days.
Answer:
It took him 40 days to complete the book.
Step-by-step explanation:
Divide 400 by 10 and you should get 40 as an answer.
Answer:
d=400/10
Hope this helps
helpppp meeeee plssss i will love u forever
Answer:
hi
Step-by-step explanation:
-10s=-3-7
-10s=-10
s=1
have a nice day
describe a good and safe relationship
Answer:
Many people rush into relationships, whether it be romantic or friendly. No matter the kind of relationship, the number one thing you want to make sure you have is boundaries. When you get to know someone, you have to make sure they respect your beliefs, your boundaries, and won't peer pressure you into doing anything. You also want to make sure the person you are getting to know is getting to know you for you and not anything else. It has been proven that the more happy relationships and healthy relationships we have, the longer we live. But it also works the other way around. That's why we have to make sure we surround ourselves with the right kinds of people otherwise, we'll just end up getting hurt. It's very common for people to be influenced by outside forces and, therefore, hurt us and turn around and instead of being our loved ones, they're our enemies. That's why we have to make sure we choose the right kinds of people.
Step-by-step explanation:
I hope this helps :)
Someone please help me! I really need help I’ll mark brainliest
Answer:
it is B
Step-by-step explanation:
trust me i know this is right 100%
Someone please help me:(
Answer: 2/3 is bigger step-by-step explanation:
2/3 is 0.667 and 3/5 is 0.6
HELP WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
So for answer choice 1, we can confirm it is correct because if we check there are 2 x intercepts (when it hits x-intercept). For answer choice 2, we only see 1 y intercept ( when it hits y-axis). So that can't be right. We'll keep moving and we can see the the maximum (highest point on the graph) truly is (1,2) so that is correct, and the axis of symmetry (if you would fold the graph in half, the point on the x-axis where it would fold) indeed is 1, so we can confirm the answer is B. Hope this helps!
Question 9 of 10Which of the following is equal to the rational expression when x ≠ -4 or 3? X^2-4+3/x^2+x-12
Answer:
3
Step-by-step explanation:
Sorry if it's wrong and semogamem helps
solving steps for 2/3(9+x) = -5(4-x)
Answer:
x = -6
Step-by-step explanation:
2/3(9+x) = -5(4-x) ( 2/3times9=6, 2/3timesx=2/3x) ( -5times4=-20,-5timesx=-5x)
6 + 2/3x = -20 -5x ( add 20 on both sides)
26 + 2/3x = -5x ( minus 2/3x on both sides)
26 = -4.6x (divided -4.6x on both sides)
-5.6 = x ( round up)
-6 = x
hope this helps
Solve for a Chocolate Chip Cookie!
Answer:
Hi! The answer to your question is x=-2 and y=3
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
x= 4-2y and y= 2- 1/2x
now gimme my cookie
please answer asap! no scam links or scam comments or reported.
Answer:
d) 2
because all the figures +2
The regular polygon has radii and an apothem as shown. Find the measure of each numbered angle.
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Answer:
∠5 = 60°
∠6 = 30°
∠7 = 120°
Step-by-step explanation:
Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)
∠5 = 60°
∠6 = 30°
∠7 = 120°
Help will be appreciated !
Answer:
The answer is 67.5!!
Step-by-step explanation:
Brainliest Please!
In a recent year, 21.4% of all registered doctors were female. If there were 45,700 female registered doctors that year, what was the total number of
registered doctors?
Round your answer to the nearest whole number.
Answer:
268396
Step-by-step explanation:
given that in a recent year 21.2% of all registered doctors were female. hence final answer is that there are total approx 268396 registered doctor's.
I need help with this i cant cuaet understand it.
Answer:
Seattle is more likely to have rain.
Step-by-step explanation:
Seattle has a 75% chance of rain
Tacoma has a 1/4 chance of rain.
100% = 4/4
75% = 3/4
50% = 2/4
25% = 1/4
25% < 75%
Answer:
Step-by-step explanation: