Step-by-step explanation
Problem to solve:
$\int\left(\frac{t^2}{2}+4t^3\right)dt$
Choose the solving method
Learn how to solve integrals of polynomial functions problems step by step online.
$\int\frac{t^2}{2}dt+\int4t^3dt$
Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(((t^2)/2)+4*t^3)dt. Expand the integral \int\left(\frac{t^2}{2}+4t^3\right)dt. The integral \int\frac{t^2}{2}dt results in: \frac{1}{6}t^{3}. The integral \int4t^3dt results in: t^{4}. Gather the results of all integrals.
Final Answer
$\frac{1}{6}t^{3}+t^{4}+C_0$