What is the antiderivative of # 2x^(-2/3)#?
1 Answer
Jan 5, 2017
Explanation:
Using the
#color(blue)"power rule for integration"#
#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(int(ax^n)dx=a/(n+1)x^(n+1))color(white)(2/2)|)))#
#rArrint(2x^(-2/3))dx#
#=2/(1/3)x^(1/3)+c=6x^(1/3)+c# where c is the constant of integration.
