Use the most accurate three-point formula to determine each missing entry in the following tables. a. x fix) fix) b. X fix) fix) -0.3 -0.27652 7.4 -68.3193 -0.2 -0.25074 7.6 -71.6982 -0.1 -0.16134 7.8 -75.1576 0 0 8.0 -78.6974 X fix) fix) d. x fix) fix) 1.1 1.52918 -2.7 0.054797 1.2 1.64024 -2.5 0.11342 1.3 1.70470 -2.3 0.65536 1.4 1.71277 -2.1 0.98472

Integrals involving roots Let’s look at a couple of examples to see another technique that can be used on occasion to help with these integrals. Example 1 Evaluate the following integral. Solution Sometimes when faced with an integral that contains a root we can use the following substitution to simplify the integral into a form that can be easily worked with. So, instead of letting u be the stuff under the radical as we often did in Calculus I we let u be the whole radical. Now, there will be a little more work here since we will also need to know what x is so we can substitute in for that i