heyy my sin function is 10.09+sin(x) and i was wondering how u would integrate it pls help i have no idea where to start

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- Sep 9th 2012, 04:40 AMlolo6456integrating a sin function
heyy my sin function is 10.09+sin(x) and i was wondering how u would integrate it pls help i have no idea where to start

- Sep 9th 2012, 04:59 AMskeeterRe: integrating a sin function
- Sep 9th 2012, 05:06 AMlolo6456Re: integrating a sin function
- Sep 9th 2012, 05:20 AMskeeterRe: integrating a sin function
$\displaystyle (10.09+\sin{x})^2 = 10.09^2 + 20.18\sin{x} + \sin^2{x}$

$\displaystyle \int 10.09^2 + 20.18\sin{x} + \sin^2{x} \, dx =$

$\displaystyle \int 10.09^2 + 20.18\sin{x} \, dx + \int \sin^2{x} \, dx =$

using the power reduction identity for $\displaystyle \sin^2{x}$ ...

$\displaystyle \int 10.09^2 + 20.18\sin{x} \, dx + \frac{1}{2} \int 1 - \cos(2x) \, dx$

can you finish? - Sep 9th 2012, 05:35 AMlolo6456Re: integrating a sin function
- Sep 9th 2012, 05:50 AMskeeterRe: integrating a sin function
- Sep 9th 2012, 05:57 AMlolo6456Re: integrating a sin function
- Sep 9th 2012, 06:12 AMskeeterRe: integrating a sin function
$\displaystyle \int 10.09^2 + 20.18\cos{x} \, dx + \frac{1}{2} \int 1 - \cos(2x) \, dx = $

$\displaystyle \int 10.09^2 \, dx + \int 20.18\cos{x} \, dx + \frac{1}{2} \int 1 \, dx - \frac{1}{2} \int \cos(2x) \, dx$

what is the antiderivative of the constant $\displaystyle 10.09^2$ ?

what is the antiderivative of $\displaystyle 20.18\cos{x}$ ?

what is the antiderivative of the constant $\displaystyle 1$ ?

what is the antiderivative of $\displaystyle \cos(2x)$ ? - Sep 9th 2012, 06:23 AMlolo6456Re: integrating a sin function
did i do it wrong?? this is confusingg sorry im just a bit slow when it comes to learning new things

-1/4 ∫〖cos2x 2-20.18cosx+∫〖1/2 dx+∫〖10.09〗^2 〗〗? - Sep 9th 2012, 06:28 AMskeeterRe: integrating a sin function
- Sep 9th 2012, 06:29 AMlolo6456Re: integrating a sin function
ohh ok well thanks for helping any but what i did before am i on the right track??

- Sep 9th 2012, 06:30 AMskeeterRe: integrating a sin function
no

- Sep 9th 2012, 06:30 AMlolo6456Re: integrating a sin function
anyway* cant u help by providing me with an example or u cant?

- Sep 9th 2012, 06:36 AMskeeterRe: integrating a sin function
I already asked you specific questions regarding antiderivatives in post #8 ... can you answer them?

- Sep 9th 2012, 06:43 AMlolo6456Re: integrating a sin function
what is the antiderivative of the constant 10.09^2

101.808x+c

what is the antiderivative of 1 ?

x

not so sure about the other 2