# Substitution Problem Calculus Free

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**Calculus question?**

The math problem i have is on this site:http://calcchat.tdlc.com/free_solutions/main.html

Textbook:8th edition, Chapt:8, Sect:4, and Excercise:13

This site shows the solution to the math problem in my textbook, but in excercise #13 i dont get how they went from step 5 to step 6. This problem deals with trig substitution.

PLz go on that site and explain how they calculated those steps.

Ok, so you make the substitution.

So you at at step 5. int(tan[t]sec[t]sec^2[t])

Now solve this trig integral with a U substitution (Oh Jolly what fun)

5a) U = sec(t) dU = tan[t]sec[t] (Remember form last semester? If not just take derivative of 1/cos[t] or trust me)

Lookie lookie we have tan[t]sec[t]

5b)int(U^2 du) = U^3/3

5c) back sustitute U = sec(t) U^3/3 = sec^3(t)/3

That’ll just about get you to step 6.

**U-Substitution Introduction 2 – Calculus**

I was taught to asisst the patient to stand by placing your dominant foot between the patient’s feet while grabbing onto both sides of the gait belt, count to 3 and asisst to stand, not to just tell them to stand. That’s where the asissting should come into play. Also, I was taught to hold onto the back of the gait belt as they walk while you stand to the side so that if they fall you can catch them. The asissting with ambulation in this video is not correctly shown.

Deep thinking – adds a new dimension to it all.