Question

$\huge{\boxed{ \bold \red{ \int( \frac{4}{x} - e {}^{x} )dx}}}$


❖ᴏɴʟʏ ᴘʀᴏᴘᴇʀ ꜱᴏʟᴠᴇᴅ ᴀɴꜱᴡᴇʀ ᴡɪᴛʜ ɢᴏᴏᴅ ᴇxᴘʟᴀɴᴀɪᴏɴ ɴᴇᴇᴅᴇᴅ
❖ ɴᴏ ꜱᴘᴀᴍᴍɪɴɢ
❖ᴏɴʟʏ ꜰᴏʀ ᴍᴏᴅᴇʀᴀᴛᴏʀꜱ, ʙʀᴀɪɴʟʏ ꜱᴛᴀʀꜱ ᴀɴᴅ ᴏᴛʜᴇʀ ʙᴇꜱᴛ ᴜꜱᴇʀꜱ​​​​​​

Answer 1

$\displaystyle \bold{ \int( \frac{4}{x} - e {}^{x} )dx}$

${ \displaystyle \bold{\int \frac{4}{x}-{e}^{x} \, dx}}$

${ \displaystyle \bold{\int \frac{4}{x} \, dx-\int {e}^{x} \, dx}}$

${ \displaystyle \bold{4\int \frac{1}{x} \, dx-\int {e}^{x} \, dx}}$

${ \displaystyle \bold{4\ln{x}-\int {e}^{x} \, dx}}$

$\bold{4\ln{x}-{e}^{x}}$

$\bold{4\ln{x}-{e}^{x}+C}$