Question

find the area of the region bounded by the line y=x+1 and curve y=x^2-1

Answer 1

Find the intersection points first.

Answer 2

how do i do that? by setting the eqn to 0?

Answer 3

Solving them simultaneously.

Answer 4

i got x=-1,1

Answer 5

x^2 -1 = x+1
x^2 -x -2 = 0

Answer 6

x = -1, x = 2

Answer 7

thank you!

Answer 8

Now integrate with using limits.

Answer 9

integrate what?

Answer 10

Here.