- #1
Quarkn
- 7
- 0
Homework Statement
(8x+1)^0.5
Homework Equations
The Attempt at a Solution
I tried using substitution but it clearly doesn't work because nothing in the brackets equals when derived.
Anyone help me with the beginning steps?
Dick said:Substitute u=8x+1. I don't understand what your problem with that would be.
Integrating a square root function involves using the substitution method, where you substitute a variable for the expression inside the square root. You then use integration techniques, such as u-substitution or integration by parts, to solve the resulting integral.
Yes, trigonometric identities can be used to simplify square root functions and make them easier to integrate. Common identities used include the Pythagorean identity and the double angle formula.
No, there is no general formula for integrating square roots. Integration techniques and methods will vary depending on the specific function being integrated.
Indefinite integrals with square roots can be solved by using the substitution method and then evaluating the resulting integral. However, the answer will usually include the constant of integration, since indefinite integrals do not have a specific range of values.
One common mistake when integrating square roots is forgetting to use the absolute value when taking the square root of a number. Additionally, it's important to carefully check for any algebraic mistakes, such as missing parentheses or incorrect substitution.