Question

plz solve this it's urgent ​

Answer 1

So we're given,

$\displaystyle\int e^a\ x\ dx$

We know that 'e' is a constant. Since 'a' is not a function in x (relation between 'a' and 'x' is not defined in the question), we can say that $e^a$ is a constant with respect to x. Thus we can take the constant out of the integral, and then we get that,

$\displaystyle\int e^a\ x\ dx=e^a\int x\ dx$

We know that,

$\displaystyle\int x^n\ dx=\dfrac {x^{n+1}}{n+1},\ n\neq-1$

If $n=1,$ then,

$\displaystyle\int x\ dx=\dfrac {x^2}{2}$

Thus,

$\displaystyle\boxed {\boxed {\int e^a\ x\ dx=\dfrac {e^a\cdot x^2}{2}+c}}$