Find the antiderivative using long division and natural logarithms

The video tutorial covers division and remainder concepts, explaining how to divide terms and handle remainders. It transitions into discussing fractions and mixed numbers, illustrating how to simplify them. The tutorial then introduces integration techniques, focusing on breaking up integrals and using U substitution. Finally, it completes the integration process, correcting a mistake regarding the placement of a constant.

What is the result when you divide X^3 by X?

• X^3

• 1

• X

• X^2

How do you express 5 divided by 2 as a mixed number?

• 1 3/2

• 2 1/2

• 5/2

• 2.5

What substitution is used for integrating the expression involving X - 3?

• U = 3X

• U = X - 3

• U = X + 3

• U = X^2

What is the integral of X^2?

• X^3

• X^2/2

• X^3/3

• 2X

What is the correct coefficient for the natural logarithm term in the final integration result?

• 10

• 1

• 5

• 1/5