Final answer to the problem
Step-by-step Solution
Specify the solving method
Expand the integral $\int\left(\frac{t^2}{2}+4t^3\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integrals of constant functions problems step by step online.
$\int\frac{t^2}{2}dx+\int4t^3dx$
Learn how to solve integrals of constant functions problems step by step online. Integrate the constant function int((t^2)/2+4t^3)dx. Expand the integral \int\left(\frac{t^2}{2}+4t^3\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{t^2}{2}dx results in: \frac{t^2x}{2}. The integral \int4t^3dx results in: 4t^3x. Gather the results of all integrals.