Definite integral of x^3 #math #integral #calculus

Hinzugefügt: 2026-05-18

[00:00:00]To solve for this definite integral, we first have to find the antiderivative of x cubed.

[00:00:05]So, that is simply x to the power of 4 over 4.

[00:00:11]And our lower bound is 1, while our upper bound is 3.

[00:00:15]Now, let's substitute our upper bound.

[00:00:17]So, we have 3 to the power of 4 over 4 minus our lower bound, which is 1 to the power of 4 over 4.

[00:00:29]And now, let's evaluate this. So, we have 81 over 4 minus 1 over 4.

[00:00:36]And that simply gives us 20.

[00:00:39]And 20 is our final answer.