F(x) = $\displaystyle \int _1\,^x\! $ $\displaystyle sin\pi t $ dt I know that F'(x) = f(x), but what is f(x) here? do I just sub x into $\displaystyle sin\pi t $?
Last edited by 450081592; Jan 12th 2010 at 05:43 PM.
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Your writting is quite hard to read, better you to improve it. Besides, it's a simple application of the FTC.
Originally Posted by 450081592 $\displaystyle F(x) = \int _1^x \sin{\pi t} \, dt$ I know that $\displaystyle F'(x) = f(x)$, but what is $\displaystyle f(x)$ here? do I just sub x into $\displaystyle \sin{\pi t} $? fixed latex ... yes ... if $\displaystyle F(x) = \int_a^x f(t) \, dt$ , then $\displaystyle F'(x) = f(x)$
Originally Posted by skeeter yes ... if $\displaystyle F(x) = \int_a^x f(t) \, dt$ , then $\displaystyle F'(x) = f(x)$ Ya Ibut where is f(x) here? is it $\displaystyle sin\pi x $ ?
Originally Posted by 450081592 Ya Ibut where is f(x) here? is it $\displaystyle sin\pi x $ ? Please read post #3 again. Do you see what f(t) is? Do you know how to replace t with x to get f(x)?
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