State the trigonometric substitution you would use to find the indefinite integral. Do not integrate. (25 + x2)−6 dx x(θ) =

Answers

Answer 1

Answer:

x(θ) = 5 tan θ

Step-by-step explanation:

Given that:

[tex]\int (25+x^2)^{-6} \ dx[/tex]

we are to state the trigonometric substitution to be used to find the indefinite integral.

Suppose u is the variable and a is the constant

u = x

a = 5

So; (a² + x²)ⁿ

which is a trigonometric substitution for x = a tanθ

Then,

x(θ) = 5 tan θ

Answer 2

In this exercise we have to use the knowledge of trigonometric substitution to calculate the indefinite integral, so we have that this is:

[tex]x(\theta) = 5 tan \theta[/tex]

Knowing that the indefinite integral corresponds to:

[tex]\int\limits {(25+x^2)^{-6}} \, dx[/tex]

we are to state the trigonometric substitution to be used to find the indefinite integral. Suppose u is the variable and a is the constant:

[tex]u = x\\a = 5\\(a^2 + x^2)^n[/tex]

Which is a trigonometric substitution for:

[tex]x = a tan\theta\\x(\theta) = 5 tan \theta[/tex]

See more about trigonometric substitution at brainly.com/question/21368433


Related Questions

Which inequality is graphed on the coordinate plane shown? image ab8c68c78ad542ac8b6ec0b7c3b7976f A y>2x−6 B y≥2x−6 C y<2x−6 D y≤2x−6

Answers

Answer:

D

Step-by-step explanation:

Less than 75% of workers got their job through internet resume sites. A researcher thinks it has increased.
Express the null and alternative hypotheses in symbolic form for this claim. For example, if you have 35%, enter it as 0.35.
H0: p H1: p
Use the following codes to enter the following symbols: ? enter >= ? enter <= ? enter ! =

Answers

Answer:

H0 : p = 0.75  against    H1: p > 0.75  One tailed test.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0 : p = 0.75  against    H1: p > 0.75  One tailed test.

In this case H0 is not defined as p≤ 0.75 because the acceptance and rejection regions cannot be set up. Therefore we take the exact value of H0 : p= 0.75.

The claim is that the probability of the workers getting their job through the internet is greater than 75% or 0.75.

As H0 is supposed to be less than we choose H1 to be greater than equality.

Write down each of the following statement
using the symbol a and the constant of pro-
portionality, k.
(a) p is directly proportional to q.
(b) y varies directly as the square of x.
(c) y varies directly as the cube of x.
(d) T varies directly as the square root of l.
(e) y is directly proportional to the cube
root of x.​

Answers

Step-by-step explanation:

Option (e) is the right answer.

help fast plez 10 points

Answers

Answer:

Parallel lines are coplanar lines

Perpendicular lines are two coplanar lines that intersect at a right angle (90º).

Distance around an unmarked circle can NEVER be measured

So:

True

True

Never True

the temperature was -3° c last night. it is now -4° c. what was the change in temperature

Answers

Answer:

The temperature changed by -1 degrees C.

Step-by-step explanation:

-3 + -1 = -4

Answer:

The change was by 1°c

solu.

-3+-1=-4°c.

Solve for x x/5= 5 NEED TO KNOW FAST!!!! PLEASE

Answers

Answer:

x = 25

Step-by-step explanation:

Multiplying both sides by 5 (to get rid of the denominator) gives us:

x / 5 * 5 = 5 * 5

x = 25

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