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$\int\left(1+x+\frac{5}{\left(x+1\right)^2+1}\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of 1+x5/((x+1)^2+1). Find the integral. Expand the integral \int\left(1+x+\frac{5}{\left(x+1\right)^2+1}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x. The integral \int xdx results in: \frac{1}{2}x^2.