1. ## Need Help!!

Write an expression for the function, g(x), if it is known that g '(x) = sin(x)/x and g(3) = 7.

C =
a =
A(t) =

can i get someone to help me with this one...show me what do to...thanks...

mathlete

2. Here is one possible solution.
$\begin{array}{l}
C = 7 \\
a = 3 \\
A(t) = \frac{{\sin (t)}}{t} \\
\end{array}$

Do you understand why?

3. Originally Posted by Plato
Here is one possible solution.
$\begin{array}{l}
C = 7 \\
a = 3 \\
A(t) = \frac{{\sin (t)}}{t} \\
\end{array}$

Do you understand why?

not quite, i understand the A(t), but how do you figure that the other values are just the ones given in the problem?

4. Originally Posted by mathlete
how do you figure that the other values are just the ones given in the problem?
They happen to work!
Don't they work?
Lets see, g(3)=7. Do you see why?

$g(x) = \int\limits_a^x {f(t)dt} + C\quad \Rightarrow \quad g(a) = C$