How to find the integral using long division and natural logarithms

The video tutorial explains the process of simplifying expressions using long division, focusing on dividing polynomials. It begins with setting up the division by identifying the divisor and dividend, then proceeds to divide using the first term of the divisor. The tutorial emphasizes aligning terms vertically for subtraction and handling remainders. It concludes with integrating the expression using U substitution, demonstrating how to rewrite and solve integrals involving polynomials.

What is the significance of vertically aligning like terms when adding or subtracting polynomials?

Explain the process of using U substitution in integration as mentioned in the text.