int {13^x} , dx is | vedclass

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Question

(A) The integral of an exponential function of the form $\int a^x \, dx$ is given by the formula $\int a^x \, dx = \frac{a^x}{\ln a} + c$,where $a > 0

Vedclass · Accepted Answer

$\frac{13^x}{\log 13} + c$

Vedclass · Answer

(A) The integral of an exponential function of the form $\int a^x \, dx$ is given by the formula $\int a^x \, dx = \frac{a^x}{\ln a} + c$,where $a > 0$ and $a 
eq 1$.Here,$a = 13$.Therefore,$\int 13^x \, dx = \frac{13^x}{\ln 13} + c$.Since $\log 13$ typically denotes the natural logarithm in calculus contexts,the correct option is $A$.

$\int {13^x} \, dx$ is

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