Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int((1/2a^2+1)^2)da. Rewrite the integrand \left(\frac{1}{2}a^2+1\right)^2 in expanded form. Expand the integral \int\left(\frac{1}{4}a^{4}+a^2+1\right)da into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{4}a^{4}da results in: \frac{a^{5}}{20}. The integral \int a^2da results in: \frac{a^{3}}{3}.

Find the integral int((1/2a^2+1)^2)da