Question

Evaluate by interpreting in terms of areas

Answer 1

\[\int\limits_{0}^{1}(x+\sqrt{1-x^2} dx\]

Answer 2

oh that one on the right is well known pi/4

Answer 3

i thinkk lemme seefor sure

Answer 4

ya it is because it pops out of a circle definition integral

Answer 5

u know that x^2+y^2=1

Answer 6

yes I know the answer is 1/2 + pi/4

Answer 7

and yes

Answer 8

oh then whats the question?

Answer 9

I want to know how to get that answer

Answer 10

thats how u get it, becaue its out of the circle and a line