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The integral of a function times a constant ($5$) is equal to the constant times the integral of the function
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$5\int\ln\left(\sqrt{\frac{3}{x}}\right)dx$
Learn how to solve problems step by step online. Solve the integral of logarithmic functions int(5ln((3/x)^1/2))dx. The integral of a function times a constant (5) is equal to the constant times the integral of the function. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). The integral of a function times a constant (\frac{1}{2}) is equal to the constant times the integral of the function. The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator.