Evaluate the indefinite integral ∫(5𝑥 3 + 3𝑥 5 )𝑑x

Question

Not sure how to solve this. Thank you for the help.

Answer 1

Basically, just use the reverse Power Rule.

∫xⁿdx = xⁿ⁺¹/n+1 + C

∫5x³+3x⁵dx = 5∫x³dx + 3∫x⁵dx

= 5x⁴/4 + 3x⁶/6 + C

= 5x⁴/4 + x⁶/2 + C