Question

Integrate with respect to x

-2/3√((2-5x)^3)

Answer 1

Hello,

`\displaystyle \int {-(2)/(3) √((2-5x)^3)} \, dx \\\\\displaystyle=-(2)/(3)*(-1)/(5) \int {-5*(2-5x)^{(3)/(2) }} \, dx \\\\\displaystyle=(4)/(3)*(2-5x)^{(5)/(2) }+C`