Advanced Knowledge Problem of the Week 3-1-18: An Improper Integral [Complex Analysis]

Check out this Advanced Knowledge Problem of the Week.
Be sure to let us know how you solved it in the comments below or on social media!

Solution below.

Equations of Math: Null Curl [Vector Calculus]

Problem of the Week 2-27-18: Minimizing a Number [Inequalities]

Check out this Problem of the Week.
Be sure to let us know how you solved it in the comments below or on social media!

Solution below.

Advanced Knowledge Problem of the Week 2-22-18: Inner Automorphisms [Group Theory]

Check out this Advanced Knowledge Problem of the Week.
Be sure to let us know how you solved it in the comments below or on social media!

Solution below.

Combinatoric Identities

Here are a couple neat combinatorial identities.

Problem of the Week 2-20-18: Set Painting [Set Theory]

Check out this Problem of the Week.
Be sure to let us know how you solved it in the comments below or on social media!

Solution below.