Learn how to solve problems step by step online. Integrate int(2/(a^(1/2))((a^(1/2)-x^(1/2))/5)^5)dx. Simplify the expression. Take the constant \frac{1}{3125\sqrt{a}} out of the integral. Multiply the fraction by the term . We can solve the integral \int\left(\sqrt{a}-\sqrt{x}\right)^5dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that \sqrt{a}-\sqrt{x} it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.

Integrate int(2/(a^(1/2))((a^(1/2)-x^(1/2))/5)^5)dx