Hi there! Assume that this is your question.
Before we get to Integral, you have to know Differentiation first. If you know how to differentiate a polynomial function then we are good to go in Integral!
We call the function that we are going to integrate as Integrand. Integrand is a function that's differentiated. In Integral, Integrating requires you to turn the function from differentiated to an original function.
For Ex. If the Integrand is x² then the original function is (1/3)x³ because when we differentiate (1/3)x³, we get x²
So when we Integrate, make sure to convert Integrand as in original function. From the question, our Integrand is x²+2x. The function is in differentiated form. We know that x² is from (1/3)x³ and 2x comes from x²
Thus,
Normally, if it's an indefinite Integral then we'd just put + C after (1/3)x³+x² but since we have a and b, it's a definite Integral.
Define F(x) as our anti-diff
From our problem, substitute x = a in then subtract with the one that substitute x = b
Simplify as we get:
Answer:
250
Step-by-step explanation:
8×6×5
times all of them together to get the volume
L= 2W -3
24= 2W - 3
24 + 3 = 2W
27 = 2W
W = 27/2= 13.5
You probably meant: "<span>utilize as much of the space AS POSSIBLE on the paper."
Set up and solve an equation of ratios:
3 8.5
---- = -------
5 x
Then 3x = 42.5. The image on the paper would be 8.5 by 42.5/3 inches, or 8.5 by 14.17 inches. Won't fit!!
So, try this instead:
</span> 3 x
---- = -------
5 11
Then 5x =33, and x = 6.6. An image with the same proportions as the 3x5 card will be 6.6 by 11 inches on the 8.5 by 11 inch paper.