Question

Cum se calculeaza integrala din f'(x)×f (x) dx?e cumva f^2 (x)?

Answer 1

$\int\limits{f'(x)f(x)} \, dx= \frac{1}{2} \int\limits {2f'(x)f(x)} \, dx= \frac{1}{2} \int\limits {(f^2(x)})' \, dx= \frac{1}{2}f^2(x)+C$