General Contents

Detailed Contents

Index

Integration of f '' and f ' and determination of the constants:

Find if , , and

 

We have the second derivative of the curve, so we can integrate with the General Power rule for integrals

to find the first derivative:

.

In order to determine a value for C1, we can use the value of the first derivative at the given value of x:

. From this we find . Combining these results, we get

Now we can integrate again to get the function:

We can determine the unknown constant from the given information:

, or .

Finally we can combine these results to get

General Contents

Detailed Contents

Index