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$\int\log_{5}\left(5^2\right)x^8dx$
Learn how to solve integral calculus problems step by step online. Find the integral of log5(5^2)x^8. Find the integral. Calculate the power 5^2. The integral of a function times a constant (\log_{5}\left(25\right)) 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 8.