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The integral of a function times a constant ($3$) is equal to the constant times the integral of the function
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$3\int y^2ady$
Learn how to solve integral calculus problems step by step online. Find the integral int(3ay^2)dy. The integral of a function times a constant (3) is equal to the constant times the integral of the function. The integral of a function times a constant (a) 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 2. Simplify the fraction \frac{3y^{3}}{3} by 3.