Learn how to solve integration by trigonometric substitution problems step by step online. Integrate int(1+(9-x^2)^(1/2))dx. Expand the integral \int\left(1+\sqrt{9-x^2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x. The integral \int\sqrt{9-x^2}dx results in: 3\left(\frac{1}{2}\arcsin\left(\frac{x}{3}\right)+\frac{x\sqrt{9-x^2}}{18}\right). Gather the results of all integrals.

Integrate int(1+(9-x^2)^(1/2))dx