Sum from an Integral Identity
Difficulty: Medium · Topics: Calculus, Integration, Fundamental Theorem of Calculus
Integral ayniyatdan yig‘indi
F(x)=∫ 0^xt f(t) dt. If F(x^2)=x^4+x^5,
calculate Σ k=1^12f(k^2).
F(x)=∫ 0^xt f(t) dt. Agar F(x^2)=x^4+x^5 bo‘lsa,
Σ k=1^12f(k^2) ni hisoblang.