Question

find the area under the curve $y = 6x^5$ over the interval $0, 4$

Explanation:

Step1: Find antiderivative of \(6x^5\)

Antiderivative: \(6 \cdot \frac{x^{6}}{6} = x^6\)

Step2: Apply Fundamental Theorem of Calculus

Evaluate at bounds: \(4^6 - 0^6 = 4096 - 0 = 4096\)

Answer:

4096