Use the integration symbol to denote the area under $f(x)=x^3$ between $2$ and $5$.

Primary tabs

Lesson Parent: 
Integration I: An Overview of Integral Calculus
Problem: 

Use the integration symbol to denote the area under $f(x)=x^3$ between $2$ and $5$.

Answer: 

$\int_2^5x^3\,dx$

SAMPLE SOLUTION

All of our problems have fully worked out, logical solutions. We connect every solution to its underlying lesson so you can understand the concepts needed to solve any problem and reinforce your learning by practicing with similar problems. All of the formulas are available to our subscribers, but here is a sample of the problem solution you will see when you log in:



Solution: 

There is no math involved here. This is just to emphasize the notation. Our notation is that

<Sign in to see all the formulas>

So the area between $2$ and $5$ under the curve <Sign in to see all the formulas> would be denoted by

<Sign in to see all the formulas>