if-g-C-R-R-and-0-1-g-x-dx-1-3-0-1-g-2-x-2-dx-then-0-1-g-x-dx-2-3-and-0-1-g-2-x-dx-1-2-

Question Number 104852 by ~blr237~ last updated on 24/Jul/20

i f g \in C (R, R) a n d . \int_{0}^{1} g (x) d x = \frac{1}{3} + \int_{0}^{1} g^{2} (x^{2}) d x

t h e n \int_{0}^{1} g (x) d x = \frac{2}{3} a n d \int_{0}^{1} g^{2} (x) d x = \frac{1}{2}