Find the indefinite integral

Question

. Use C for the constant of integration. (Hint: x⁸ − 1/x³ = x⁵ − x⁻³⁾

∫ x⁸ − 1/x³dx

Answer 1

Reverse Power Rule:

∫ xⁿ dx = (xⁿ⁺¹)/(n+1) + C

∫x⁸ - x^-3 dx

= x⁹/9 - x^-2/2 + C