How to find the antiderivative of a rational expression

The video tutorial explains the process of finding the antiderivative of a given expression. It begins by simplifying the expression, rewriting it to make integration easier. The power rule is applied to find the antiderivative, and the expression is further simplified. The importance of adding a constant of integration is emphasized. The tutorial concludes with a brief Q&A session.

What is the first step in simplifying an expression for antiderivatives?

• Differentiate the expression

• Rewrite the expression

• Apply the quotient rule

• Use the chain rule

Which rule is applied to find the antiderivative of a power function?

• Chain rule

• Quotient rule

• Power rule

• Product rule

What happens to the constant when integrating a function?

• It is ignored

• It is multiplied by the variable

• It is added to the result

• It is subtracted from the result

What is the significance of the constant 'C' in integration?

• It accounts for all possible antiderivatives

• It represents a specific solution

• It is a placeholder for zero

• It is used to simplify the expression

How can the expression 2/X be rewritten after integration?

• 2X

• 2X^-1

• X^-1

• X^2