Linear arguments $($namely$,$ the form

a$+$bx

$,$ as seen below$)$ are a special case because the derivative of the linear argument is the constant b$.$ Substitution can be used, but it is useful to know how to address this special case without using u$-$substitution. You will not be required to show work for such problems and can consider them to be elementary antiderivatives. If the argument is not linear, so that its derivative is not constant, then you cannot use this shorter method.

Compute this antiderivative. Then you can practice with more problems that are similar. $($Use $+$ C for the constant of integration.$)$

$1$

$1519$x

dx $=$