developp-at-integr-serie-f-x-0-pi-2-dt-1-x-2-sin-2-t-with-x-lt-1-

Question Number 33888 by math khazana by abdo last updated on 26/Apr/18

d e v e l o p p a t i n t e g r s e r i e f (x) = \int_{0}^{\frac{π}{2}} \frac{d t}{\sqrt{1 - x^{2} {s i n}^{2} t}} .

w i t h ∣ x ∣< 1 .