Question

what is the differentiation of x^2 dx with limit 0 to 2​

Answer 1

Answer:

0

Explanation:

Limits aren't variable and it is a definite integral, which will be a constant so it's differentiation will be 0 .

Answer 2

step by step explanation:

integration :

formula used

$\: integration \: of \: \: x {}^{n} dx = \frac{x {}^{n} }{n + 1}$

now question:

$integration \: of \: x {}^{2} dx = \frac{x {}^{3} }{3} + c$

where c is an arbitrary constant .

now apply limit

then it's definate Integration

$(limit \: 0 \: to \: 2) = \frac{x {}^{3} }{3}$

$= \frac{8}{3}$

and

differentiation of integration of x^ 2 DX

with limit O to 2

apply Newton's libenitz theorem.

I hope it helps you