Help with one integral problem?

Step-by-step explanation:

To integrate means to find the antiderivative of the function. For this problem, we can use u-substitution.

Let's first use our identities to rewrite the function. Since , we can use this identity.

Now that we have u and du, we can plug them back in.

Since we know u, we can plug that in.

This may seem like the correct answer, but we forgot to add the constant.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.