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$\int\left(\ln\left(e^{4x}\right)-\ln\left(1\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of ln(e^(4x))-ln(1). Find the integral. Simplify the expression inside the integral. The integral of a function times a constant (4) is equal to the constant times the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1.