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Calculus1 17 Online
OpenStudy (anonymous):

Integrate

OpenStudy (anonymous):

\[\int\limits_{}^{}(12e^3x+2x+\frac{ 7 }{ x })dx\]

OpenStudy (anonymous):

@radar

OpenStudy (anonymous):

@Juarismi @Hero

hero (hero):

\[\int\limits_{}^{}(12e^3x+2x+\dfrac{ 7 }{ x })dx = \int12e^3x \space dx + \int 2x \space dx + \int \dfrac{7}{x}\space dx\] \[=12e^3 \int x \space dx + 2 \int x \space dx + 7 \int \frac{1}{x} dx\]

hero (hero):

@Sephora

OpenStudy (anonymous):

doesnt it suppose to be \[12\int\limits_{}^{}e^3xdx\]

hero (hero):

\(e^3\) is a constant

OpenStudy (anonymous):

where did you got 1/x in 7/x?

hero (hero):

\(\dfrac{7}{x} = \dfrac{7}{1} \times \dfrac{1}{x} = 7\left(\dfrac{1}{x}\right)\)

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