Final answer to the problem
$\frac{1}{9}\left(2y^3+3\right)\ln\left|9x+5\right|+C_0$
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Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
- Load more...
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1
The integral of a function times a constant ($2y^3+3$) is equal to the constant times the integral of the function
$\left(2y^3+3\right)\int\frac{1}{9x+5}dx$
Learn how to solve integrals of rational functions problems step by step online.
$\left(2y^3+3\right)\int\frac{1}{9x+5}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2y^3+3)/(9x+5))dx. The integral of a function times a constant (2y^3+3) is equal to the constant times the integral of the function. Apply the formula: \int\frac{n}{ax+b}dx=\frac{n}{a}\ln\left(ax+b\right)+C, where a=9, b=5 and n=1. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final answer to the problem
$\frac{1}{9}\left(2y^3+3\right)\ln\left|9x+5\right|+C_0$
