Question

Integral(x^2+3x+5)dx

Answer 1

integrate each term using the power rule

∫(a
`x^(n)`) =
`(a)/(n+1)`
`x^(n+1)`

∫(x² + 3x + 5 ) dx

=
`(1)/(3)`x³ +
`(3)/(2)`x² + 5x + c

where c is the constant of integration