integration and differenciation
hello! I had my class test today, but there are 2 questions on which I am doubtful of my answer, could you please check?
1) integral from -1 to x of (3t^4 + 15 t^2)e^(t^2)
a) is never null
b) has a point of local minimum at -1
c) is decreasing
d) none of the preceiding
I said b
2) the mean value of 2xsin(x^2) in (0; root of pi) (the boundaries are included but I don't know how to write that brachets) is
b)1/root of pi
d) none of the preceding
I said d
Thank you so much!