Exercise
$\int_2^x\left(t^3+1\right)dt$
Step-by-step Solution
Learn how to solve integrals of polynomial functions problems step by step online. Integrate the function t^3+1 from 2 to x. Expand the integral \int_{2}^{x}\left(t^3+1\right)dt into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{2}^{x} t^3dt results in: \frac{x^{4}}{4}-4. Gather the results of all integrals. The integral \int_{2}^{x}1dt results in: x-2.
Integrate the function t^3+1 from 2 to x
Final answer to the exercise
$-6+\frac{x^{4}}{4}+x$