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$\int\left(\left(x\cdot x^2-x^2+1\right)^2-\left(x\cdot x^2-x+1\right)^2\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (xx^2-x^2+1)^2-(xx^2-x+1)^2. Find the integral. Simplify the expression inside the integral. The integral \int\left(x^{3}-x^2+1\right)^2dx results in: \frac{x^{7}}{7}+\frac{x^{5}}{5}+x-\frac{1}{3}x^{6}+\frac{1}{2}x^{4}-\frac{2}{3}x^{3}. Gather the results of all integrals.