Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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$\int\frac{x^2\left(5x+1\right)^2}{\left(4x-1\right)^3}dx$
Learn how to solve problems step by step online. Integrate the function (x^2(5x+1)^2)/((4x-1)^3). Find the integral. Rewrite the fraction \frac{x^2\left(5x+1\right)^2}{\left(4x-1\right)^3} inside the integral as the product of two functions: x^2\left(5x+1\right)^2\frac{1}{\left(4x-1\right)^3}. We can solve the integral \int x^2\left(5x+1\right)^2\frac{1}{\left(4x-1\right)^3}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du.