Eric Nicholas K's answer to Sonia's Secondary 4 A Maths Singapore question.

done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
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.