5.2-bo'lim : Noaniq integrallarni hisoblash
19. \( \displaystyle \int{{\frac{6}{{{w^3}}} - \frac{2}{w}\,dw}}\) ni baholang.
Yechim
Haqiqatan ham integralni baholashdan boshqa ko'p narsa qilish kerak emas.
\[\int{{\frac{6}{{{w^3}}} - \frac{2}{w}\,dw}} = \int{{6{w^{ - 3}} - \frac{2}{w}\,dw}} = \require{bbox} \bbox[2pt,border:1px solid black]{{ - 3{w^{ - 2}} - 2\ln \left| w \right| + c}}\]