Ask Singapore Homework?

Upload a photo of a Singapore homework and someone will email you the solution for free.


One Answer Below

Anyone can contribute an answer, even non-tutors.

Answer This Question
Jun Xin
Jun Xin

5 chevron_right Add maths chevron_right Malaysia

find the area of the shaded region.

Date Posted: 1 year ago
Views: 99

See 1 Answer

done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
Eric Nicholas K
Eric Nicholas K's answer
5457 answers (Tutor Details)
The trick is to do the integral with respect to y instead of with respect to x, since the curve lies completely to one side of the y-axis but does not lie completely to one side of the x-axis.

Therefore, we must express the equations of the curve and the line as x in terms of y before we can do the integral.

The shaded area is to the left of the y-axis, so the final answer is expected to be negative. Not to worry, we just take the final value without the negative sign for the final answer.
Eric Nicholas K
Eric Nicholas K
1 year ago
Minor correction to the first equals sign of my rightmost lane, the lower bound of the integral should be -4.