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The integral of a function times a constant ($5$) is equal to the constant times the integral of the function
Learn how to solve integrals with radicals problems step by step online.
$5\int x\sqrt[3]{9-4x^2}dx$
Learn how to solve integrals with radicals problems step by step online. Integrate int(5x(9-4x^2)^1/3)dx. The integral of a function times a constant (5) is equal to the constant times the integral of the function. First, factor the terms inside the radical by 4 for an easier handling. Taking the constant out of the radical. We can solve the integral 5\int\sqrt[3]{4}x\sqrt[3]{\frac{9}{4}-x^2}dx by applying integration method of trigonometric substitution using the substitution.