5.6-bo'lim : Aniq integralning ta'rifi
10. \(x\) ga nisbatan quyidagi integralni differensiallang.
\[\int_{4}^{x}{{9{{\cos }^2}\left( {{t^2} - 6t + 1} \right)\,dt}}\]Yechim
Bu Hisoblashning asosiy teoremasining I bo'limini tezda qo'llashdan boshqa narsa emas.
hosilasi,
\[\frac{d}{{dx}}\left[ {\int_{4}^{x}{{9{{\cos }^2}\left( {{t^2} - 6t + 1} \right)\,dt}}} \right] = \require{bbox} \bbox[2pt,border:1px solid black]{{9{{\cos }^2}\left( {{x^2} - 6x + 1} \right)}}\]