Find the Antiderivatives

  • Thread starter rowdy3
  • Start date
  • #1
32
0
Find the following.
∫ (v^2 - e^(3v)) dv.
I did
∫(V^2-e^(3v)) dv
∫(v^2)dv - I (e^(3v) )dv
∫(v^3)/3- (e^(3v))/3
∫(v^3-e^(3v))/3
Did I so it right?
 

Answers and Replies

  • #2
35,028
6,774


Find the following.
∫ (v^2 - e^(3v)) dv.
I did
∫(V^2-e^(3v)) dv
∫(v^2)dv - I (e^(3v) )dv
∫(v^3)/3- (e^(3v))/3
∫(v^3-e^(3v))/3
Did I so it right?

Not quite. After you antidifferentiate the integral sign should be gone. Also, you need to include the constant of integration and you should use = to connect expressions that are equal.

∫(v^2-e^(3v)) dv
= ∫(v^2)dv - ∫ (e^(3v) )dv
= (v^3)/3- (e^(3v))/3 + C

This could also be written as
(1/3)v3 - (1/3)e3v + C
or as (1/3)(v3 - e3v) + C
 

Related Threads on Find the Antiderivatives

  • Last Post
Replies
15
Views
1K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
2
Views
891
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
13
Views
2K
  • Last Post
Replies
9
Views
4K
  • Last Post
Replies
7
Views
1K
  • Last Post
Replies
11
Views
703
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
15
Views
2K
Top