An Identity with ∫ t f′(t) dt
Difficulty: Medium · Topics: Calculus, Integration, Polynomials
∫ t f′(t) dt qatnashgan ayniyat
The polynomial function f(x) satisfies
∫ 1^xt f'(t) dt=2x^3+3x^2+ax+∫ 0^1f(t) dt.
Find f(2). (a is a constant)
f(x) ko‘phad quyidagini qanoatlantiradi:
∫ 1^xt f'(t) dt=2x^3+3x^2+ax+∫ 0^1f(t) dt.
f(2) ni toping. (a — o‘zgarmas)