Question

$\huge\star \: Integrate$

$\huge\frac{cos2x+2{sinx}^{2}}{{cosx}^{2}}dx$​

Answer 1

Step-by-step explanation:

$\huge\int\frac{cos2x + 2{sin}^{2}x}{{cos}^{2}x}dx$

=$\huge\int\frac{cos2x +1 - cos2x}{{cos}^{2}x}dx$

=$\huge\int{secx}^{2}dx$

= $\huge \: tan \: x \: + \: C$

$\huge\red{\boxed{\green{\mathbb{\overbrace{\underbrace{\fcolorbox{pink}{aqua}{\underline{\red{Hope it helps}}}}}}}}}$

Answer 2

Answer:

$\huge{\orange{\underline{\purple{\mathscr{Hope \: it's \: help \: you}}}}}$