Exercise
$\int\left(\frac{x^2+6x+5}{x^2}\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int((x^4)/((5-x^5)^4))dx. Expand the fraction \frac{x^2+6x+5}{x^2} into 3 simpler fractions with common denominator x^2. Simplify the resulting fractions. Expand the integral \int\left(1+\frac{6}{x}+\frac{5}{x^2}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x.
Find the integral int((x^4)/((5-x^5)^4))dx
Final answer to the exercise
$x+6\ln\left|x\right|+\frac{-5}{x}+C_0$