MATHEMATICS HIGH SCHOOL

Use integration by parts to integrate sin2x between pi and 0

Answers

Answer 1

Answer:

Answer:

$\displaystyle \int\limits^0_(\pi) {\sin (2x)} \, dx = 0$

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

U-Substitution

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \int\limits^0_(\pi) {\sin (2x)} \, dx$

Step 2: Integrate Pt. 1

Identify variables for u-substitution.

Set u: $\displaystyle u = 2x$
[u] Differentiate: $\displaystyle du = 2 \ dx$
[Bounds] Switch: $\displaystyle \left \{ {{x = 0 ,\ u = 2(0) = 0} \atop {x = \pi ,\ u = 2 \pi}} \right.$

Step 3: Integrate Pt. 2

[Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle \int\limits^0_(\pi) {\sin (2x)} \, dx = (1)/(2) \int\limits^0_(\pi) {2 \sin (2x)} \, dx$
[Integral] U-Substitution: $\displaystyle \int\limits^0_(\pi) {\sin (2x)} \, dx = (1)/(2) \int\limits^0_(2 \pi) {\sin u} \, du$
Trigonometric Integration: $\displaystyle \int\limits^0_(\pi) {\sin (2x)} \, dx = (1)/(2)(-\cos u) \bigg| \limits^0_(2 \pi)$
Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^0_(\pi) {\sin (2x)} \, dx = (1)/(2)(0)$
Simplify: $\displaystyle \int\limits^0_(\pi) {\sin (2x)} \, dx = 0$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

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Really need help!

What is the value of h(3)?

–2
–1
1
2

Answers

I believe the answer is -1

The sum of 11 and k??

Answers

11 + k

The 'sum' means addition. If the problem gives you a k value, therefore you can just plug the k value in for K.

Zakary ate 34 hot dogs. jerald ate 30 times as much as zakary did. how many hot dogs did jerald eat?

Answers

1020 hotdogs. Just multiply the two

What Is the next number? 12 21 23 32 34 43

Answers

12 21 23 32 34 43
so, we add 11 to 12 and get 23, then we add 11 to 23 and get 34, now we have to add 11 to 34 and get 45, that is the next number:
12 21 23 32 34 43 45 54

The next number of the number series 12 21 23 32 34 43 would be; 54

We are given the series as;

12 21 23 32 34 43

First, we have to add 11 to 12

11 + 12 = 23,

then we add 11 to 23

11 + 23 = 34,

Now we have to add 11 to 34

11 + 34 =45,

This is the next number:

12 21 23 32 34 43 45 54

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diketahui tiga bilangan a, b, dan c. Rata-rata dari ketiga bilangan itu sama dengan 16. bilangan kedua ditambah 20 sama dengan jumlah bilangan-bilangan yang lainnya. bilangan ketiga sama dengan jumlah bilangan yang lain dikurangi empat. Bilangan-bilangan itu berturut-turut adalah...

Answers

See the attachment ..Hope it helps

Final answer:

The question, which pertains to algebra, is asking for the solution to three equations involving three numbers. To solve the problem, we set up equations based on the information provided and then solve for the three unknowns. The solution is 10, 24, and 14.

Explanation:

This problem can be addressed using algebraic equations. We are given three unknown numbers a, b, and c. The problem provides us with the following information:

The average of a, b, and c is 16, which means the sum of the three numbers is 48 (because 16 * 3 = 48).
The second number, b, plus 20 equals the sum of the other two, a + c.
The third number, c, equals the sum of the first two numbers minus four, or a + b - 4.

Using these equations, we can solve for a, b, and c. Our steps are:

Substitute the values of a + b from the third equation into the second to get b + 20 = 2b - 4.
Solve this equation to get b = 24.
Substitute b = 24 into the first equation to get a + c = 24. This means a = c.
Substitute a = c into the third equation to get 2a = 28, or a = c = 14.

So, the three numbers are 10, 24, and 14.

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When f(x)= -3,what is x

Answers

The value of x is, -3.

What does the X in a function mean?

A function defines one variable in terms of another.
The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on.
A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.

What is the value for X?

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division.
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.
Simplify the values to find the result.

How are the functions y x?

The phrase "y is a function of x" means that the value of y depends upon the value of x, so: y can be written in terms of x (e.g. y = 3x ).
If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s .

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Answer:

-3

Step-by-step explanation:

Edu 2020

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