The calculus betrayal is real! Left side shows differentiation as this beautiful, organized flowchart where you just apply some rules and—boom—you're done. Meanwhile, integration is this chaotic nightmare maze that eventually leads to "BURN THE EVIDENCE" and desperate "PHONE CALLS TO MATHEMATICIANS."
Every math student knows this pain. Differentiation: "Here's your answer, have a nice day!" Integration: "What's a Bessel function? Should I install Mathematica? Is this partial fractions or some Riemann voodoo?" No wonder we all tried working backwards from the multiple choice answers on exams!
Pro tip: if your integration strategy includes "burn the evidence," you're doing authentic mathematics.