Can anyone please help me with a u substitution integration question: Work out the integral: `int x/(a+bx)^{3/2}dx` let `u=a+bx` Please help if you can very much appreciated if you do
Expert Answers
lfryerda
| Certified Educator
| Certified Educator
calendarEducator since 2012
write738 answers
starTop subjects are Math and Science
In this case, since the substitution is given in the question, we just need to carry out the procedure for substitution.
Since `u=a+bx` , then `du=bdx` so `dx=1/bdu` and `x=1/b(u-a)` . This means...
(The entire section contains 110 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- Find the indefinite integral `int x sqrt((2x-1)) dx` using integration by substitution `int x...
- 1 Educator Answer
- `int (a + bx^2)/(sqrt(3ax + bx^3)) dx` Evaluate the indefinite integral.
- 1 Educator Answer
- `int 1/(1 + sqrt(2x)) dx` Find the indefinite integral by u substitution. (let u be the...
- 1 Educator Answer
- Evaluate the integral using a trig substitution: `int x^3/(sqrt(4+x^2)) dx`
- 1 Educator Answer
- `int (sqrt(x)/(sqrt(x) - 3)) dx` Find the indefinite integral by u substitution. (let u be the...
- 1 Educator Answer
Ask a Question
Popular Questions
- What do the letters R, Q, N, and Z mean in math?
-
1 educator answer
- How do I determine if this equation is a linear function or a nonlinear function?
-
8 educator answers
- Given f(x) and g(x), please find (fog)(X) and (gof)(x) f(x) = 2x g(x) = x+3
-
1 educator answer
- If you are traveling 50 miles at 60mph how long would it take you to get there????
-
1 educator answer
- Why is math such an important part of our lives?
-
8 educator answers