6-10 Integration Using Long Division & Completing the Square

6-10 Integration Using Long Division & Completing the Square

Guided Notes

Multiple Choice

 $\int\ \frac{2x}{\sqrt{16-x^2}}dx$  can be solved by

• inverse trig integration

• the natural log pattern

• completing the square

• u-substitution

Multiple Choice

 $\int\ \frac{dx}{4+9x^{2\ }\ }$  can be solved by

• natural log pattern

• inverse trig integration

• partial fractions

• u-substitution

Multiple Choice

 $\int\ \frac{x^2}{x^2-x+1}dx$  must be solved by first 

• completing the square

• finding the partial fractions

• using u-substitution

• performing long division

Multiple Choice

 $\int\ \frac{3x-1}{x^2+1}dx$  can be solved by first

• using inverse trig

• separating the integral into two fractions

• completing the square in the denominator

• using the natural log pattern