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Learn how to solve problems step by step online. Integrate int((x(x-1))^1/2)dx. Solve the product x\left(x-1\right). Rewrite the expression \sqrt{x^2-x} inside the integral in factored form. We can solve the integral \int\sqrt{\left(x-\frac{1}{2}\right)^2-\frac{1}{4}}dx by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of dx, we need to find the derivative of x. We need to calculate dx, we can do that by deriving the equation above.
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more