# Calculus

posted by
**Kate**
.

Let F(x)=int from 0 to x of (t-3)/(t^2+7) dt for -infinity <x< infinity.

a. Find the value of x where F attains its minimum value.

b. find the intervals over which F is only increasing or only decreasing.

c. Find open intervals over which F is only concave up or only concave down.