# Use free input to show how to integrate step by step this integral?

GROUPS:
 integral. I tried using the free input to show me how to integrate the following integral but it didn't show me the steps. Solve with steps the integral of x*(2*a^2)*arccos(x/(2*a))-(x^2/2)*sqrt(4a^2-x^2) in the interval [0,a] How to make Mathematica show me the steps?Thanks.
Answer
1 year ago
2 Replies
 It is interesting that it won't show steps for the definite integral, but if you ask free form for a definite integral it works just fine. Solve with steps the integral of x*(2*a^2)*arccos(x/(2*a))-(x^2/2)*sqrt(4a^2-x^2) over x That doesn't answer your question, but at least you can see the step by step solution before you plug in the limits.
Answer
1 year ago
 Hi, Just use Free form input, Solve with steps the integral of \ x(2a^2)arccos(x/(2a))-(x^2/2)*sqrt(4a^2-x^2) over x and you get the solution. You open then "Show all steps" and get all of them. It's about 3-4 pages of steps... Mathematica provides you also with a Manipulate graph to see your function. Attachments:
Answer
1 year ago