Hello there. To solve this question, we'll need to remember how to integrate a function over an interval.
The area under the curve y = y(x) in the interval [a, b] is given by the integral:
In this case, y(x) = 5x^6 and the interval is [0, 5]
The integral is:
To solve this integral, remember that:
The integral of the product between a constant and a function is equal to:
The integral of a power is given by:
Then, solving this integral:
