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Expand the integral $\int\left(\left(x-1\right)^5+3\left(x-1\right)^2+5\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int\left(x-1\right)^5dx+\int3\left(x-1\right)^2dx+\int5dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int((x-1)^5+3(x-1)^2+5)dx. Expand the integral \int\left(\left(x-1\right)^5+3\left(x-1\right)^2+5\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\left(x-1\right)^5dx results in: \frac{\left(x-1\right)^{6}}{6}. The integral \int3\left(x-1\right)^2dx results in: \left(x-1\right)^{3}. The integral \int5dx results in: 5x.