Let g(t) denote the inner integral. By the fundamental theorem of calculus, the first derivative is

Then using the FTC again, differentiating g gives

Answer:
Axioms or postulates are universal truths. They cannot be proved. Theorem are statements which can be proved.
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The length of rectangular pool is 6 ft and width of rectangular pool is 2 ft.
Step-by-step explanation:
Given,
Area of rectangular pool = 12 square feet
Let,
Width of pool = w
Length of pool = l = 2w+2
Area = Length * Width

Dividing each term by 2;

Either,
w+3 = 0 => w=-3
Or,
w-2=0 =>w=2
As width cannot be negative, therefore,
Width of rectangular pool = 2 ft
Length of rectangular pool = 2w+2 = 2(2)+2 = 4+2 = 6 ft
The length of rectangular pool is 6 ft and width of rectangular pool is 2 ft.
Keywords: rectangle, area
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