Solving: $\int\left(4+2y^2\right)^2dy$
Exercise
$\int\left(4+2y^2\right)^2dx$
Step-by-step Solution
Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int((4+2y^2)^2)dy. Rewrite the integrand \left(4+2y^2\right)^2 in expanded form. Expand the integral \int\left(16+16y^2+4y^{4}\right)dy into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int16dy results in: 16y. The integral \int16y^2dy results in: \frac{16}{3}y^{3}.
Find the integral int((4+2y^2)^2)dy
Final answer to the exercise
$16y+\frac{16}{3}y^{3}+\frac{4}{5}y^{5}+C_0$