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Composing a Logistic Integral

Difficulty: Medium · Topics: Calculus, Integration, Logarithms

Logistik integral kompozitsiyasi

f(x) is a continuous function and satisfies the following. (a∈mathbbR)

f(x)=∫ 0^xfrac11+e^-t dt, (f° f)(a)=ln 15

Find a.

f(x) uzluksiz funksiya bo‘lib, quyidagilarni qanoatlantiradi. (a∈mathbbR)

f(x)=∫ 0^xfrac11+e^-t dt, (f° f)(a)=ln 15

a ni toping.