Partial Fractions

Evaluate the integral ∫ (2x^2 + 5x + 3) / (x^3 + 2x^2 + x) dx using partial fractions

• ln|x| + ln|x+1| + C/(x^2 + 1)

• ln|x| + ln|x+1| + C/(x^3 + 2x^2 + x)

• ln|x| + ln|x+1| + C/(x+1)

• ln|x| + ln|x+1| - C/(x+1)

• A

• B

• C

• D

• E

Which technique should be used to integrate this:

• natural log pattern

• u-substitution

• integration by parts

• partial fractions

When I need to decompose an improper fraction into its partial fractions, I need to do long division first.

• TRUE

• FALSE

Find values for A and B

Is the solution to this question correct?

• Yes

• NO

Complete the process to find values of A and B.

• A = 1, B = 5

• A = -1/6, B = 1/6

• A = 1/6, B = 1/6