You are here:

Calculus/Please Check ...

Advertisement


Question
I have a question that says: " Evaluate the integral: ~csc^4(x) " , I reached the following answer:
 
  -cot(x)-1/3(cot^3(x))+C

and I wanted to know to check if my solution is correct. Can you please check it for me ?
I have an exam and I really need help!

Thank You alot.

Hint: i couldn't use the integration sign so i used the ~ instead :)

Answer
The integration sign is ∫, which I have stored in an Excel file on characters.
I go that cell, do a cntl-C, go to where I want that symbol, and do a cntl-V.

I prefer cot(x) as ctn(x), that way it never gets confused with cos(x).

The problem is ∫csc^4(x)dx.

If I differentiate that answer you got, -ctn(x) - ctn^3(x)/3 + C,
I get csc^2(x) + cot^2(x)csc^2(x).

Since 1 + cot^2(x) = csc^2(x), that looks correct.]

Calculus

All Answers


Answers by Expert:


Ask Experts

Volunteer


Scotto

Expertise

Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology (reproduction, insusion of chemicals into bloodstream).

Experience

Experience in the area: I have tutored students in all areas of mathematics since 1980. Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors. Awards and Honors: I have passed Actuarial tests 100, 110, and 135.

Publications
Maybe not a publication, but I have respond to well oveer 8,500 questions on the PC. Well over 2,000 of them have been in calculus.

Education/Credentials
I aquired well over 40 hours of upper division courses. This was well over the number that were required. I graduated with honors in both my BS and MS degree from Oregon State University. I was allowed to jump into a few courses at college a year early.

Awards and Honors
I have been nominated as the expert of the month several times. All of my scores right now are at least a 9.8 average (out of 10).

Past/Present Clients
My past clients have been students at OSU, students at the college in South Seattle, referals from a company, friends and aquantenances, people from my church, and people like you from all over the world.

©2016 About.com. All rights reserved.