5.2-bo'lim : Noaniq integrallarni hisoblash
15. \( \displaystyle \int{{2\cos \left( w \right) - \sec \left( w \right)\tan \left( w \right)\,dw}}\) ni baholang.
Yechim
Haqiqatan ham integralni baholashdan boshqa ko'p narsa qilish kerak emas.
\[\int{{2\cos \left( w \right) - \sec \left( w \right)\tan \left( w \right)\,dw}} = \require{bbox} \bbox[2pt,border:1px solid black]{{2\sin \left( w \right) - \sec \left( w \right) + c}}\]“+c” ni qo‘shishni unutmang, chunki biz integralni olish uchun qaysi funktsiyani farqlaganimizni so‘raayotganimizni bilamiz va doimiyning hosilasi nolga teng va shuning uchun javobga buni qo‘shishimiz kerak.