× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
g
3
3
2
J
2
p
2
m
2
h
2
s
2
r
2
d
2
l
2
a
2
This topic contains 3 attachments.
Home Q & A Board Science-Related Homework Help Mathematics
New Topic  
calcourse calcourse
wrote...
Posts: 19
Rep: 0 0
10 years ago
Solve the definite integral?
integral [-2,0] x^2e^x^3/2dx

Determine which of the integrals can be found using the basic integration formulas and solve it?
a) integral e^(x^2)dx
 b) integral 1/1+x^4 dx
Read 1083 times
5 Replies

Related Topics

Replies
wrote...
#1
Staff Member
10 years ago
Quote from: calcourse (10 years ago)
Solve the definite integral?
integral [-2,0] x^2e^x^3/2dx

Hi, does it look like the attachment?

Quote
Determine which of the integrals can be found using the basic integration formulas and solve it?
a) integral e^(x^2)dx
 b) integral 1/1+x^4 dx

a) The integral of this is the same as it is: e^(x^2).
b) (sqrt(2)*log(x^2+sqrt(2)*x+1)-sqrt(2)*log(x^2-sqrt(2)*x+1)+2^(3/2)*atan((2*x+sqrt(2))/sqrt(2))+2^(3/2)*atan((2*x-sqrt(2))/sqrt(2)))/8 [See attachment]
 Attached file(s) 
Thumbnail(s):
You must login or register to gain access to these attachments.
- Master of Science in Biology
- Bachelor of Science
calcourse Author
wrote...
#2
10 years ago
Hey there! I think you put the same attachment twice? Thanks a lot for the help, I really appreciate it!
wrote...
#3
Staff Member
10 years ago
Quote from: calcourse (10 years ago)
Hey there! I think you put the same attachment twice? Thanks a lot for the help, I really appreciate it!

My bad, try now Downwards Arrow

Is that what you meant to write?
 Attached file 
Thumbnail(s):
You must login or register to gain access to this attachment.
- Master of Science in Biology
- Bachelor of Science
calcourse Author
wrote...
#4
10 years ago
Oh sorry, I meant to write exactly that except (x^3)/2, so that x has an exponent of 3 and the whole unit is divided by 2, if that makes sense.
wrote...
#5
10 years ago
Quote from: duddy (10 years ago)

Quote
Determine which of the integrals can be found using the basic integration formulas and solve it?
a) integral e^(x^2)dx
 b) integral 1/1+x^4 dx

a) The integral of this is the same as it is: e^(x^2).

I could be misinterpreting the answer given by duddy, but:

\({\int e^{x^{2}}\,dx}\)

in part a.) is a particular case that cannot be evaluated by elementary integration. And as such, it certainly won't yield e^(x^2) once you find its anti-derivative. The function e^x does.

There's several posts on the physicsforums that speak about this very topic as well, by the way.

Hope this helped, and again, ignore me if I'm talking about something completely different  Face with Stuck-out Tongue
New Topic      
Quick Reply
Explore
Post your homework questions and get free online help from our incredible volunteers
  1109 People Browsing
 151 Signed Up Today
Start New Topic Take the Tour CoursesNew Study Tools Topics Trending Browse by Textbook
Live Chat
Related Images
  
 244
  
 72
  
 3890
Your Opinion
What's your favorite math subject?
Votes: 293
Previous poll results: Do you believe in global warming?