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Any expression divided by one ($1$) is equal to that same expression
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$\int\left(x+18\right)\sqrt{36-x^2}dx$
Learn how to solve problems step by step online. Find the integral int(((x+18)(36-x^2)^1/2)/1)dx. Any expression divided by one (1) is equal to that same expression. We can solve the integral \int\left(x+18\right)\sqrt{36-x^2}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. Substituting in the original integral, we get.