Discur the convergene at \( [1,2] \) given that \( f(x)=x^{3}-x-1 \)

What is the general solution to the following: \( \int 2 x \sin (x) d x \) ?

Integrate the following: \( \int x e^{2 x} d x \)

20. \( \int x \tan ^{2} x d x \)

A. The critical number of \( f(x) \) B. Find the intervals on which \( f \) is increasing and decreasing by using the first derivative test Find the local maximum and minimum, if they exist by using the first derivative test Find the intervals on which \( f \) is concave up and concave down Find the inflection points of \( f(x) \)

What is the solution to the differential equation \( \frac{d y}{d x}+x y=x, y(0)=-6 ? \)