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

x(θ) = 5 tan θ

Step-by-step explanation:

Given that:

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

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)