Final Answer
$9\ln\left(x\right)-2x^2+C_0$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$\int\frac{9-4x^2}{x}dx$
Specify the solving method
1
Expand the fraction $\frac{9-4x^2}{x}$ into $2$ simpler fractions with common denominator $x$
$\int\left(\frac{9}{x}+\frac{-4x^2}{x}\right)dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{9}{x}+\frac{-4x^2}{x}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((9-4x^2)/x)dx. Expand the fraction \frac{9-4x^2}{x} into 2 simpler fractions with common denominator x. Simplify. Expand the integral \int\left(\frac{9}{x}-4x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{9}{x}dx results in: 9\ln\left(x\right).
Final Answer
$9\ln\left(x\right)-2x^2+C_0$