The partial fraction decomposition of
4 x 2 + 45 x + 108 1 x 3 + 12 x 2 + 36 x \displaystyle \frac{{{4}{x}^{{2}}+{45}{x}+{108}}}{{{1}{x}^{{3}}+{12}{x}^{{2}}+{36}{x}}} 1 x 3 + 12 x 2 + 36 x 4 x 2 + 45 x + 108 equals
Preview Question 6 Part 1 of 2
Now integrate.
∫ 4 x 2 + 45 x + 108 1 x 3 + 12 x 2 + 36 x d x = \displaystyle \int\frac{{{4}{x}^{{2}}+{45}{x}+{108}}}{{{1}{x}^{{3}}+{12}{x}^{{2}}+{36}{x}}}{\left.{d}{x}\right.}= ∫ 1 x 3 + 12 x 2 + 36 x 4 x 2 + 45 x + 108 d x = Preview Question 6 Part 2 of 2
+ C
Note: You must enter |w| as abs(w).
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Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c