Express the limit as a definite integral on the given interval | CALCULUS I

Question

kittybasil · Answer

$$a)~\Large{\lim_{n\rightarrow\infty}\sum_{i=1}^{n}x^{2}_{i}\ln{x_{i}}\Delta x,~[1,4]}$$$$b)~\Large{\lim_{n\rightarrow\infty}\sum_{i=1}^{n}\sin^{4}{(x_{i}*)}\Delta x,~[0,3]}$$

kittybasil · Answer

$$a)~\Large{\int_{1}^{4}x^{2}\ln{x}dx;~n=n}$$

kittybasil · Answer

$$b)~\Large{\int_{0}^{3}\sin^{4}(x)dx;~n=n}$$I don't know if this one is correct considering it says $\Large{x_{i}^{*}}$

Angle · Answer

that looks right to me ^_^

Angle · Answer

but you're right
what's that * star thing? .-.

kittybasil · Answer

@Angle wrote:

but you're right what's that * star thing? .-.

idk, came with the paper D:

Angle · Answer

is there a pic of your paper?

kittybasil · Answer

no sorry :'(

Angle · Answer

I don't think it makes a difference .-.
maybe
you can probably tag zarkon later and ask

kittybasil · Answer

Nah it's okay, you're good xD Thank you! :)