6. Integration and Accumulation of Change
Integrating Functions Using Long Division And Completing The Square — Quiz
Test your understanding of integrating functions using long division and completing the square with 5 practice questions.
Practice Questions
Question 1
What is the main reason for using long division before integrating a rational function like $\frac{x^2+1}{x-1}$?
Question 2
Which expression is the correct result of dividing $\frac{x^2+3x+2}{x+1}$ using polynomial long division?
Question 3
What is the integral of $\int \frac{1}{x^2+4x+5}\,dx$ after completing the square?
Question 4
Which expression is equivalent to $x^2+6x+13$ after completing the square?
Question 5
What is the antiderivative of $\int (2x+1)\,dx$?