How do you find the antiderivative of #f(x)= x^(3/4) + x^(4/3)#?
1 Answer
Mar 6, 2018
Explanation:
#"integrate each term using the "color(blue)"power rule"#
#•color(white)(x)int(ax^n)dx=a/(n+1)x^(n+1)#
#rArrint(x^(3/4)+x^(4/3))dx#
#=1/(7/4)x^(7/4)+1/(7/3)x^(7/3)+c#
#=4/7x^(7/4)+3/7x^(7/3)+c#
#"where c is the constant of integration"#
