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## Step-by-step Solution

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$\int\sqrt{15}x^3dx$

Learn how to solve integrals with radicals problems step by step online. Find the integral int(x^3(4+11)^1/2)dx. Simplifying. The integral of a function times a constant (\sqrt{15}) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 3. Take \frac{\sqrt{15}}{4} out of the fraction.