Given-an-even-fuction-f-x-such-that-a-a-f-x-dx-a-a-0-find-3-4-f-x-dx-

Question Number 100207 by Rio Michael last updated on 25/Jun/20

Given an even fuction f (x) such that {\int^{a}}_{- a} f (x) d x = \sqrt{a} \forall a ⩾ 0

find \int_{3}^{4} f (x) d x

Commented by mr W last updated on 25/Jun/20

\int_{0}^{a} f (x) d x = \frac{\sqrt{a}}{2}

\int_{0}^{4} f (x) d x = \frac{\sqrt{4}}{2} = 1

\int_{0}^{3} f (x) d x = \frac{\sqrt{3}}{2}

\int_{3}^{4} f (x) d x = \int_{0}^{4} - \int_{0}^{3} = 1 - \frac{\sqrt{3}}{2}

Commented by Rio Michael last updated on 25/Jun/20

perfect sir