Step-by-step explanation:
<h2>2.1</h2><h2>
<em><u>that's</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u>.</u></em></h2><h2>
<em><u>thank</u></em><em><u> you</u></em><em><u>.</u></em></h2>
The limit as a definite integral on the interval
on [2π , 4π] is
.
<h3>
What is meant by definite integral?</h3>
A definite integral uses infinitesimal slivers or stripes of the region to calculate the area beneath a function. Integrals can be used to represent a region's (signed) area, the cumulative value of a function changing over time, or the amount of a substance given its density.
Definite integral, a term used in mathematics. is the region in the xy plane defined by the graph of f, the x-axis, and the lines x = a and x = b, where the area above the x-axis adds to the total and the area below the x-axis subtracts from the total.
If an antiderivative F exists for the interval [a, b], the definite integral of the function is the difference of the values at points a and b. The definite integral of any function can also be expressed as the limit of a sum.
Let the equation be

substitute the values in the above equation, we get
=
on [2π, 4π],
simplifying the above equation

To learn more about definite integral refer to:
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2 units, because translations do not change the length of segments. Hope this helps!
Answer:
52 ft^2
Step-by-step explanation:
To find the area you just multiply 13 feet (length) by 4 feet (width). This gives you 52 feet squared because we are dealing with area and square feet.
Answer:
Step-by-step explanation:
let : y = x² - 8
calculate : x
x² = y + 8
x exist : y + 8 ≥ 0
x = √(y + 8) or x = - √(y + 8)
conclusion :
if : x ≥ 0 the inverse of f(x) is : g(x) = √(x + 8)
if : x ≤ 0 the inverse of f(x) is : h(x) = - √(x + 8)