Question

Find the anti derivative of f(x)=fourth root(x^3)+cube root(x^2)

Answer 1

`\int {( \sqrt[4]{ x^(3) } + \sqrt[3]{ x^(2) }) } \, dx = \\ = \int {( x^(3/4)+ x^(2/3) )} \, dx = \\ ( x^(7/4) )/(7/4)+ ( x^(5/3) )/(5/3)+C = \\ \frac{4 \sqrt[4]{ x^(7) } }{7}+ \frac{3 \sqrt[3]{ x^(5) } }{5}+C`