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$\int\left(3\arctan\left(\frac{x+1}{2}\right)-4\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of y=3arctan((x+1)/2)-4. Find the integral. Expand the integral \int\left(3\arctan\left(\frac{x+1}{2}\right)-4\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3\arctan\left(\frac{x+1}{2}\right)dx results in: 3x\arctan\left(\frac{x+1}{2}\right)+6\ln\left(\frac{2}{\sqrt{\left(x+1\right)^2+4}}\right). Gather the results of all integrals.