Question

Fundamental Theorem of Calculus question

Answer 1

pi/4... f(x)=sqrt(1-x^2) is the upper semicircle of the unit circle. the area of that is pi/2 but you're integrating from 0 to 1 so it's half that... pi/2 * 1/2 = pi/4

Answer 2

this answer is pi/4. reply if you need an explanation. it is tricky at first :P

Answer 3

Could you give me an explanation?