Question

integration of( e^alnx+e^xlna)dx (a>0)​

Answer 1

$GOOD \: MORNING \: \\ \\ \: find \: \: \: integration \: of \: \: \\ (e {}^{a ln(x) } + e {}^{x ln(a) } )dx \\ \\ integration \: \: of \: \\( e {}^{ ln(x {}^{a} ) } + e {}^{ ln(a {}^{x} )} )dx \\ \\ integration \: of \: \\ (x {}^{a} + a {}^{x} )dx \\ \\ x {}^{(a + 1)} \: \: \: \ + \: \: \: \: \: \: \: \: \: \: a {}^{x} \\ - - - \: \: \: \: \: \: \: \: \: - - - - \: \: \: \: \: + c\\ (a + 1) \: \: \: \: \: \: \: \: \: \: \: \: \: \: ln(a) \\ where \: c \: is \: called \: constant \: of \: integration \: .$

Answer 2

Answer:

x^(a+1)/a+1 + a^x/log a + c

Step-by-step explanation:

Solution is in attachment.