Question

Find the area of the region under the graph of the function f on the interval 
[5, 11]. 
f(x) = 8x − 1

 

 

Answer 1

The area under the graph of f(x) on the interval [a, b] is the integral of f(x) from a to b.

So, the area under the graph of f(x) = 8x - 1 on [5, 11] is:

Use the formula : ∫ (x)ⁿ dx = (x)ⁿ⁺¹ / (n + 1).

Therefore, the area of the region under the graph of the function is 378 square units.