Exercise
$\int\left(\frac{2-9x}{x^4}\right)dx$
Step-by-step Solution
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2-9x)/(x^4))dx. Expand the fraction \frac{2-9x}{x^4} into 2 simpler fractions with common denominator x^4. Simplify the resulting fractions. Expand the integral \int\left(\frac{2}{x^4}+\frac{-9}{x^{3}}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{2}{x^4}dx results in: \frac{-2}{3x^{3}}.
Find the integral int((2-9x)/(x^4))dx
Final answer to the exercise
$\frac{-4+27x}{6x^{3}}+C_0$