int1/(cos^2xsqrttanx) dx=? 

Explanation:

Another Explanation (5): সমাধান: ধরি, \( \tan x = z^2 \) 🤩 সুতরাং, \( \sec^2 x \, dx = 2z \, dz \) বা, \( \frac{1}{\cos^2 x} \, dx = 2z \, dz \) 🥳 এখন, সমাকলনটি হবে: \( \int \frac{1}{\cos^2 x \sqrt{\tan x}} \, dx = \int \frac{2z}{\sqrt{z^2}} \, dz \) 😎 \( = \int \frac{2z}{z} \, dz \) \( = \int 2 \, dz \) \( = 2z + c \) \( = 2\sqrt{\tan x} + c \) 🥰 সুতরাং, \( \int \frac{1}{\cos^2 x \sqrt{\tan x}} \, dx = 2\sqrt{\tan x} + c \) 🙏