How can I plot this function containing definite integral?

Answer 1

[Star Strider]

If you are integrating both with respect to ‘alpha’ (since the variable of integration of the second integral is not visible, although both appear to be the same), evaluate it with respect to ‘x’ and plot it with respect to ‘x’.

I will let you code it. You will need to set 'ArrayValued',true in your integral call. It then works with a vector for ‘x’. (I would define ‘x’ on the interval of (-10,10).)