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integral of of sin x/cosˆ2 x

Sagot :

Answer:

[tex] \sec x + c[/tex]

Step-by-step explanation:

[tex] \int \frac{ \sin \: x}{ { \cos}^{2}x } \: dx \\ \\ = \int \frac{ \sin \: x}{ { \cos}x } . \frac{ 1}{ { \cos}x } \: dx \\ \\ = \int \tan x . \sec x \: dx \\ \\ = \sec x + c[/tex]

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