Remember
for F(x) is the antiderivitive of f(x)
so find the antiderivitive of ((x+1)^2)/x
if we expand we get (x^2+2x+1)/x which simplifies to x+2+(1/x)
the anti-deritivive of x is (1/2)x^2
the antideritiveve of 2 is 2x
the antideritivieve of 1/x is ln|x|
F(x)=(1/2)x^2+2x+ln|x|+C
F(1)=(5/2)+ln1+C
F(2)=6+ln2+C
F(2)-F(1)=6+ln2+C-(5/2+ln1+C)
F(2)-F(1)=(7/2)+ln2
that is the answer
if you want is simplified or expanded it is about 4.1915
This could be answered by using the distributive property.
This is an algebra property which is done to multiply a particular
term and two or more terms in a set of parentheses.
So for our problem, 6 (3 + 9):
You first, multiply 6 x 3 = 18
And multiply 6 x 9 = 56
Thus, the answer is 18 + 56 = 72
But following the order of operations, you should add first
the number inside the parenthesis and then multiply it to the number outside
the parenthesis but it will the same answer still. (6 x 12 = 72)