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$\int\left(\frac{x^3}{\sqrt{4-9x^2}}+x\right)dx$
Learn how to solve differential calculus problems step by step online. Integrate int((x^3)/((4+1*-9x^2)^1/2)+x)dx. Simplifying. Expand the integral \int\left(\frac{x^3}{\sqrt{4-9x^2}}+x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. First, factor the terms inside the radical by 9 for an easier handling. Taking the constant out of the radical.