Integration by Parts with f·f′
Difficulty: Easy · Topics: Calculus, Integration, Integration by Parts
f·f′ bilan bo‘laklab integrallash
The differentiable function f(x) satisfies
f(2)=3, ∫ 0^2x f(x)f'(x) dx=4.
Evaluate ∫ 0^2\f(x)\^2 dx.
Differensiallanuvchi f(x) funksiya quyidagilarni qanoatlantiradi:
f(2)=3, ∫ 0^2x f(x)f'(x) dx=4.
∫ 0^2\f(x)\^2 dx ni hisoblang.