Question

∫$2^{x}$+$3^{x}$dx


calculate the indefinite integral
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Answer 1

Answer:

$\bold\red{ \frac{ {2}^{x} }{ ln(2) } + \frac{ {3}^{x} }{ ln(3) }+c}$

Step-by-step explanation:

We have to find the integration of,

$\int( {2}^{x} + {3}^{x} )dx$

We know that,

Integration of,

$\int {a}^{x} = \frac{ {a}^{x} }{ ln(a) }$

So, according to this,

we get,

Integration

$\bold{ \frac{ {2}^{x} }{ ln(2) } + \frac{ {3}^{x} }{ ln(3) }+c}$

where, c is an arbitrary constant