QUIZZZ !!!
[tex]\huge\int \: {e}^{x} ( \frac{1 + sin \: x \: cos \: x}{ {cos}^{2} \: x} )dx[/tex]
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[tex]\huge\int \: {e}^{x} ( \frac{1 + sin \: x \: cos \: x}{ {cos}^{2} \: x} )dx[/tex]
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∫ex(cos2x1+sinxcosx)dx
=∫ex(sec2x+tanx)dx
=∫exsec2xdx+∫extanxdx
[tex] {e}^{x} \: tanx + \: c[/tex]
semoga bermanfaat ya kak