Solving for the Antiderivative: 2/x - 5e^5x | Math Homework Help

  • Thread starter Thread starter BuBbLeS01
  • Start date Start date
Click For Summary
The antiderivative of the function 2/x - 5e^5x is being discussed. The correct approach involves integrating each term separately, leading to the expression 2ln|x| - e^5x + C. The integration of 2/x results in 2ln|x|, while the integration of -5e^5x yields -e^5x after applying the constant factor rule. The final answer includes the constant of integration, represented as + C. The solution confirms that the process of finding an antiderivative is indeed another term for integration.
BuBbLeS01
Messages
602
Reaction score
0

Homework Statement


Sorry I have class at 8 and I am getting myself confused...
What is the anti-derivative of 2/x - 5e^5x


Homework Equations





The Attempt at a Solution


So I did this...
2 * 1/x - 5e^5x
Anti-derivative:
2ln - 5e^5x
 
Physics news on Phys.org
Is an Anti-Derivitive ...another word for Integration?
if 1/x =lnx ...looks like it.
[Int]2/x - [Int]5e^5x
2[int]1/x - 5[int]e^5x
2Lnx - 5[1/5e^5x]
Ans: 2Lnx -e^5x + k

Am I right?
 

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
View full post »

Similar threads

Two Solutions for y' = 5x^3(y-1)^1/5 with Initial Condition y(0)=1
  • · Replies 11 ·
Replies
11
Views
2K
Derivative of Secant: Find dy/dx
  • · Replies 2 ·
Replies
2
Views
1K
Characteristic Function Integrand Evaluation
  • · Replies 3 ·
Replies
3
Views
2K
Integration by parts - Does this make sense?
  • · Replies 2 ·
Replies
2
Views
2K
What is the solution to this slight integral problem?
  • · Replies 1 ·
Replies
1
Views
977
Volumes of solids of revolution with infinity
  • · Replies 10 ·
Replies
10
Views
4K
Differential calculus, physics problem
  • · Replies 2 ·
Replies
2
Views
4K
Using the Integral Test to Show Sum is Less Than pi/2
  • · Replies 13 ·
Replies
13
Views
2K
Are these two inverse Laplace transform solutions equivalent?
  • · Replies 2 ·
Replies
2
Views
2K
Surface Area of y = e^5x revolved around the x-axis from 0 to ln(4)
  • · Replies 4 ·
Replies
4
Views
4K