Question

How do you integrate 4x^2 ?

Answer 1

how do you get a prism as your 99?

Answer 2

I am a subscriber. You should subscribe too! It helps OpenStudy!

Answer 3

Is that you in the picture?

Answer 4

I seen you on here in 2012

Answer 5

2013 something like that

Answer 6

do you make money being on here?

Answer 7

uhhh we need an integral from a to b .... first unless we just take antiderivative of 4x^2 ?

Answer 8

$$ \Large \rm { \int 4x^2 ~dx = 4 \cdot \int x^2~ dx

}$$

Answer 9

Now we can use power rule

Answer 10

then take antiderivative of x^2 which is add one to the exponent and divide by the new exponent

Answer 11

and don't forget the +C at the end.

Answer 12

cos^2(4x) = (1 + cos8x)/2

Therefore, integration of cos^2(4x) = Integration of (1+cos8x)/2
= 1/2 [Integration of (1) + Integration of (cos 8x)]
= 1/2 [x + sin8x/8 ]
= x/2 + (sin8x)/16

Answer 13

HUH!

Answer 14

\[\int\limits_{?}^{?}4x ^{2} dx=\]
\[\frac{ 4x ^{3} }{ 3 }\]

Answer 15

$$ \Large \rm
{ \int x^n ~dx= \frac{x^{n+1}}{n+1} + C
\\~\\\therefore\\
4\int x^2 ~dx= 4\cdot \frac{x^{2+1}}{2+1}+C= 4\cdot \frac{x^3}{3} + C
}$$

Answer 16

That is truly epic! Thanks perl!

Answer 17

Your welcome ☺ ☺

Answer 18

"You're"

Answer 19

woops. You're*

Answer 20

Can I subscribe for only 1 month? And do they take Pre paid visa cards?

Answer 21

but you're not supposed to give direct answers perl :O

Answer 22

>.>
<.<

Answer 23

That's true.

Answer 24

But the question was asking how to do something, it doesn't look like homework.

Answer 25

busted....and getting medals too... XD

Answer 26

anyone out there know matlab ughhh I am stuck on a code that should be straight forward but gives errors.

Answer 27

Wow. A moderator giving direct answers. Tsk, tsk. Guess it must be alright for the rest of us too.