The discussion focuses on the indefinite integration of the function 1/(3√x²). The correct transformation of the expression involves rewriting it as x^(-2/3). The integration process leads to the result of (x^(1/3))/(-2/3) after applying the power rule. The final answer is confirmed to be -3/2 * x^(1/3) + C, where C is the constant of integration.
PREREQUISITESStudents studying calculus, particularly those focusing on integration techniques, and educators looking for examples of integrating functions with fractional exponents.
[itex]\displaystyle \frac{1}{\sqrt[3]{x^2}\,}=\frac{1}{x^{2/3}}=x^{-2/3}[/itex]draotic said:Homework Statement
1 / (3√x2 )
Homework Equations
The Attempt at a Solution
the overall power of x in denom becomes ( 1/2 * 2 * 1/3 = 1/3)
taking in num , it becomes (-1/3 + 1 = 2/3) so answer should be x2/3 / (2/3)
which is wrong , please help