Final Answer
Step-by-step Solution
Specify the solving method
Rewrite the integrand $x\left(x+\frac{1}{\sqrt{x}}\right)$ in expanded form
Learn how to solve polynomial factorization problems step by step online.
$\int_{0}^{1}\left(x^2+\frac{x}{\sqrt{x}}\right)dx$
Learn how to solve polynomial factorization problems step by step online. Integrate the function x(x+1/(x^1/2)) from 0 to 1. Rewrite the integrand x\left(x+\frac{1}{\sqrt{x}}\right) in expanded form. Expand the integral \int_{0}^{1}\left(x^2+\frac{x}{\sqrt{x}}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Simplify the fraction by x. The integral \int_{0}^{1} x^2dx results in: \frac{1}{3}.