Integral Dx X 3 X 2 X 1

X 3 x 2 x 1 x 2 x 1 1 x 1 x 1 x 2 1 x 2 x 3 x 2 x 1 dx x 2 dx x 1 x 2 1 x 2 x 1 x 2 1 a.

Integral dx x 3 x 2 x 1. Math 166 lecture notes october 17 here are the examples from lecture with a few steps and the nal answer. Integral x 2 x 3 x 2 x 1 dx. Rational integrals substitution z dx x x2 1 3 1 8 x2 1 4 z dx x2 x3 1 20 1 63 x3 1 21 z dx 4x3 x4 1 log x4 1 z dx 3 3x 7 log 3x 7 z dx 4x 3 2x2 3x 1 log 2x2 3x 1 z dx 3x2 1 x3 x 1 log x3 x 1 z dx 2x 1 x2 x 1 log x2 x 1 z dx 3x x2 7 3 3 4 x2 7 2 rational integrals linear 1 x a n. I know it uses partial fractions but i can t think right now.

Example 1 find z 3 1 dx x3 x2 x 1 the rst step is point out that this integral is improper wherever x3 x2 x 1 0.