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$\int\ln\left(\sqrt{1+x^2}\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of y=ln((1+x^2)^1/2). Find the integral. Apply properties of logarithms to expand and simplify the logarithmic expression \ln\left(\sqrt{1+x^2}\right) inside the integral. The integral of a function times a constant (\frac{1}{2}) is equal to the constant times the integral of the function. We can solve the integral \int\ln\left(1+x^2\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.