Exercise
$\int\frac{144x^{12}-108x^{10}-36x^4}{12x^6}dx$
Step-by-step Solution
Learn how to solve simplification of algebraic expressions problems step by step online. Find the integral int((144x^12-108x^10-36x^4)/(12x^6))dx. Simplify the expression. Expand the fraction \frac{12x^{12}-9x^{10}-3x^4}{x^6} into 3 simpler fractions with common denominator x^6. Simplify the resulting fractions. Expand the integral \int\left(12x^{6}-9x^{4}+\frac{-3}{x^{2}}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.
Find the integral int((144x^12-108x^10-36x^4)/(12x^6))dx
Final answer to the exercise
$\frac{12}{7}x^{7}-\frac{9}{5}x^{5}+\frac{3}{x}+C_0$