Verified answer

Ответ:

B)2

Решение:

[tex]\int\limits^{0}_{-\frac{\pi}{4}} \frac{2}{ { \cos }^{2} x} dx \\ [/tex]

[tex]\int \frac{2}{ { \cos }^{2} x} dx \\ [/tex]

[tex]2 \times \int \frac{1}{ { \cos}^{2} x} dx \\ [/tex]

[tex]2 \tan{x}[/tex]

[tex]2 \tan{x}{|}^{0}_{-\frac{\pi}{4}}

[tex]2 \tan{x}{|}^{0}_{-\frac{\pi}{4}}[/tex]

[tex]2 \tan{0} - 2 \tan{ - \frac{\pi}{4} }[/tex]

[tex]2 \times 0 - 2( - 1)[/tex]

[tex]0 + 2[/tex]

[tex]2[/tex]