Final answer to the problem
Step-by-step Solution
Specify the solving method
Rewrite the integrand $x\left(x+\frac{5}{x}\right)^2$ in expanded form
Learn how to solve integral calculus problems step by step online.
$\int\left(x^{3}+10x+\frac{25}{x}\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(x(x+5/x)^2)dx. Rewrite the integrand x\left(x+\frac{5}{x}\right)^2 in expanded form. Expand the integral \int\left(x^{3}+10x+\frac{25}{x}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{3}dx results in: \frac{x^{4}}{4}. The integral \int10xdx results in: 5x^2.