Question

Find the area of the region bounded by the curves y = x^2 − 1 and y = sin(x). Give your answer correct to 2 decimal places.

Answer 1

not sure what to do about the graph being partially in the negative quadrants

Answer 2

i found the endpoints of intersection at -0.636733 and 1.40962 not sure where to go on from there

Answer 3

@ganeshie8 @dan815 @Michele_Laino @pooja195 @Kainui

Answer 4

do i have to integrate with respect to the y-axis ?

Answer 5

hope this helps you

Answer 6

i had already graphed it :(

Answer 7

cool

found where they intersect?

Answer 8

yep at x = -0.636733 and 1.40962

Answer 9

not sure what to do next ...

Answer 10

well, next integrate :p

i'd be sure to keep the +ve and -ve signs in order so you might wish to do 2 integrations. they cross at x = 0. so integrate x = -0.636733 to 0, and x = 0 to 1.40962

all in dx

you can do dy if you want but you are creating a whole load of problems for yourself such as having to integrate arcsin

Answer 11

wouldn't the fact that some of the graph is on the negative quadrants give me a wrong answer

Answer 12

yep, that's exactly what you have to look out for

i'll try draw something