Question

Homework: evaluate ∫x²d[x²] from 0 to 4

Answer 1

Answer:

The answer to this question is 128

Step-by-step explanation:

$\int\limits^4_0 {x^2} \, d(x^2) \\= \int\limits^4_0 {x^2}\cdot 2x \, dx \\= \int\limits^4_0 2{x^3} \, dx\\= 2 \bigg(\frac{x^4}{4}\bigg)^4_0\\= 2 (\frac{4^4}{4} - 0)\\= 2\cdot 4^3\\=128$