Basic intergration problem still stuck help.

Click For Summary
SUMMARY

The integral problem discussed involves the expression t(4+9t)^(1/2) dt. The user attempted both u-substitution and integration by parts without success. The recommended solution is to solve for t in the substitution u = 4 + 9t and then substitute this back into the integral. This method simplifies the integration process and allows for a clearer path to the solution.

PREREQUISITES
  • Understanding of integral calculus
  • Familiarity with u-substitution technique
  • Knowledge of integration by parts
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Practice solving integrals using u-substitution
  • Explore integration by parts with more complex functions
  • Review algebraic manipulation techniques for solving equations
  • Study advanced integration techniques such as trigonometric substitution
USEFUL FOR

Students studying calculus, particularly those struggling with integration techniques, and educators looking for examples of common integration challenges.

hornady
Messages
4
Reaction score
0
The integral is t(4+9t)^(1/2) dt

I have tried u-sub and integration by parts but i can't figure it out.

u=4+9t
du=9 Does not help because i still have that t to deal with.

I have spent more time then i want to admit trying to figure it out, and there are plenty more in the hw.

Can someone help me out so i can move on with the assignment?

Thanks guys/gals.
 
Physics news on Phys.org
Solve for t in u = 4 + 9t
and substitute it back into the first t in the integral.
 

Similar threads

Integration by Parts Evaluate the integral
  • · Replies 5 ·
Replies
5
Views
7K
Differentiate, Evaluate Intergral
  • · Replies 6 ·
Replies
6
Views
2K
Prove that the integral is equal to ##\pi^2/8##
  • · Replies 105 ·
4
Replies
105
Views
11K
Integrals that keep me up at night
  • · Replies 22 ·
Replies
22
Views
3K
Evaluate the integral after figuring out the proper method to use
  • · Replies 2 ·
Replies
2
Views
2K
What is the solution to this basic integral using substitution?
  • · Replies 3 ·
Replies
3
Views
2K
Differentiate the given integral
  • · Replies 15 ·
Replies
15
Views
2K
Find the velocity vector of a curve at point r(t)
  • · Replies 3 ·
Replies
3
Views
6K
Solving a Partial Differential Equation with the Characteristic Method
  • · Replies 5 ·
Replies
5
Views
2K
Stuck on this integral (using partial fraction decomposition)
  • · Replies 3 ·
Replies
3
Views
2K