How to plot the result of Integration?

Questions
,
1

I like to do:

Plot[Integrate[x^2,x], {x,-3,3}]

and expect a graph of (x^3)/3, but always get various Errors like

Integrate::ilim: “Invalid integration variable or limit(s) in -2.9998774285714287”

It looks like Integrate gets invokved with a concrete value of x. What i think i need is to get Integrate evaluated first, the result should then be used to do the Plot. But how do i say this to Mathematica? I played with things like Evaluate, Funtion, Apply but was unable to come to a solution.

Thank you for any help in advance,
Thomas

2

I am so dumb.

Plot[Evaluate[Integrate[x^2, x]], {x, -3, 3}]

works. And i can do

f[x_] := Sin[x]/x
Plot[Evaluate[{f[x], Integrate[f[x], x]}], {x, -10, 10}]

which is my original problem.