Final Answer
Step-by-step Solution
Specify the solving method
We could not solve this problem by using the method: Integration by Trigonometric Substitution
Expand the integral $\int\left(\frac{t^2}{2}+4t^3\right)dt$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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. Integrate int((t^2)/2+4t^3)dt. Expand the integral \int\left(\frac{t^2}{2}+4t^3\right)dt into 2 integrals using the sum rule for integrals, to then solve each integral separately. 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.