Question

What is the antiderivative of `x^2/5`? thanks!?

Answer 1

`color(red)(x^3/15+c)`

Consider the integral:
`intx^2/5dx=`
Remember that the integral of `x^n` is `x^(n+1)/(n+1)` so:
`intx^2/5dx=1/5intx^2dx=1/5x^(2+1)/(2+1)+c=1/5x^3/3+c=`
`=x^3/15+c`