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$\int\ln\left(\frac{\left(x^2+1\right)^3}{2^x\sqrt{x^2+4}}\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function ln(((x^2+1)^3)/(2^x(x^2+4)^1/2)). Find the integral. The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. Expand the integral \int\left(\ln\left(\left(x^2+1\right)^3\right)-\ln\left(2^x\sqrt{x^2+4}\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\ln\left(\left(x^2+1\right)^3\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.