Question

Find the area of the region between y=x^2+6x and the x axis for the following intervals.

a.) -6 to 0
b.) -7 to 0
c.) -6 to 2

Answer 1

so the x axis happens to be when y=0

Answer 2

so the region is between y=x^2+6x and y=0

Answer 3

first you have to draw the graph

Answer 4

or at least figure out which is always on top

Answer 5

if plug in your intervals you'll find that all the intervals start at intersections or where y=x^2+6x is above y=0

Answer 6

\[\int f(x)-g(x)dx\] where fx is alway the above function and g(x) is the lower function

Answer 7

so your integral will always be

\[\int_{c}{}x^2+6xdx\] where c is your intervals

Answer 8

can you solve this?

Answer 9

no, still new to this

Answer 10

Alright well can you watch this video and let me know if this helps

http://patrickjmt.com/finding-areas-between-curves/

Answer 11

this is basically what i explained earlier.

Do you know how to find anti derivatives of polynomials?

Answer 12

yes i am learning to do anti derivatives

Answer 13

alright well watch the above video when you're done let me know we'll go on

Answer 14

ok thanks

Answer 15

outkast what the highest level math you took?

Answer 16

I'm currently taking Differential Equations