Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
See 3 Answers
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
Hi Sonia! Each integral represents the area under the curve.
When we integrate a curve with respect to x, the definite integral represents the area under the curve to the x-axis.
When we integrate a curve with respect to y, the definite integral represents the area under the curve to the y-axis.
When we integrate a curve with respect to x, the definite integral represents the area under the curve to the x-axis.
When we integrate a curve with respect to y, the definite integral represents the area under the curve to the y-axis.
Date Posted:
5 years ago
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
Definite integrals measure areas under the graph bounded by the two limits.
Date Posted:
5 years ago
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
These two integrals measure the areas which I have shaded, and they add up to a rectangle.
Even if we do not know the equation of the curve, we know that these two regions combine to form a rectangle with sides 4 and 3.
Hence, the total area is 12, so the value of the sum of the integrals is 12.
Even if we do not know the equation of the curve, we know that these two regions combine to form a rectangle with sides 4 and 3.
Hence, the total area is 12, so the value of the sum of the integrals is 12.
Date Posted:
5 years ago