Question

integrate -9 to 0 (2+sqrt of 81-x^2)dx, without using an antiderivative

Answer 1

\[\int\limits_{-9}^{0}(2+\sqrt{81}-x^2) dx ? \]

Answer 2

\[\int\limits_{-9}^{0}(2+\sqrt{81-x^2})dx\]
if it is this one we can do a circle thingy :)

Answer 3

I suspect it is the latter.

Answer 4

well for the first little part rectangle
second part circle
\[\int\limits_{-9}^{0}2dx+\int\limits_{-9}^{0}\sqrt{81-x^2} dx\]

Answer 5

@xjasmineg are you there?

Answer 6

yeah, i'm here!

Answer 7

and its the second one!

Answer 8

it says evaluate the exact value using area?!

Answer 9

@myininaya ?

Answer 10

The first definite integral is the area of a rectangle with height 2 units and length 9 units. The second one is the area of a quarter of a circle of radius 9.