Find the integral $\int t\left(2x\right)^3dx$

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Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(t(2x)^3)dx. The integral of a function times a constant (t) is equal to the constant times the integral of the function. The power of a product is equal to the product of it's factors raised to the same power. The integral of a function times a constant (8) 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.