What is the anti-derivative of 5x?

Answer 1

∫ xⁿ dx = xn + 1/(n + 1) + c where n is any constant except 0 and -1.

Apply that rule to get:

∫ 5x dx

= 5 ∫ x dx [Factor out the constant]

= 5 ∫ x1 dx [Make note of the exponent for x]

= 5x1 + 1/(1 + 1) + c

= (5/2)x2 + c

Answer 2

5x2/2 + C

That is (2.5x2 plus any number).