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