Final answer to the problem
$\frac{9x^{\left(2n+2\right)}}{2x^2\ln\left(x\right)}+C_0$
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Step-by-step Solution
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Find the integral
$\int\frac{\frac{\left(3x^{\left(n+1\right)}\right)^2}{x^{2\left(n+1\right)}}x^{-n}}{\left(x^{-n}\right)^3}dn$
Learn how to solve integral calculus problems step by step online.
$\int\frac{\frac{\left(3x^{\left(n+1\right)}\right)^2}{x^{2\left(n+1\right)}}x^{-n}}{\left(x^{-n}\right)^3}dn$
Learn how to solve integral calculus problems step by step online. Find the integral of (((3x^(n+1))^2)/(x^(2(n+1)))x^(-n))/(x^(-n)^3). Find the integral. Simplify the expression inside the integral. Solve the product 2\left(n+1\right). Cancel like terms 2n and -2n.
Final answer to the problem
$\frac{9x^{\left(2n+2\right)}}{2x^2\ln\left(x\right)}+C_0$