Question

Solve the following problem by basic integration. (Show correct format)

Answer 1

3
`x^(4)` + 5x - 2
`x^(-3)` + c

Explanation:

Using the power rule on each term

∫ a
`x^(n)` dx =
`(a)/(n+1)`
`x^(n+1)` ( n ≠ - 1 )

Given

∫ (12x³ + 5 + 6
`x^(-4)` ) dx

=
`(12)/(4)`
`x^(4)` +
`(5)/(1)` x +
`(6)/(-3)`
`x^(-3)` + c ( c is the constant of integration )

= 3
`x^(4)` + 5x - 2
`x^(-3)` + c