Question

What is the antiderivative of `f(x)=x^(3.4) - 2x^((sqrt2)-1)`?

Answer 1

I found: `x^4.4/4.4-sqrt(2)x^(sqrt(2))+c`

Explanation:

We can use the indefinite integral as:
`int(x^(3.4)-2x^(sqrt(2)-1))dx=`
`intx^(3.4)dx-2intx^(sqrt(2)-1)dx=`
`=(x^(3.4+1))/(3.4+1)-2x^(sqrt(2)-1+1)/(sqrt(2)-1+1)+c=`
`=x^4.4/4.4-2/sqrt(2)x^(sqrt(2))+c=`
`=x^4.4/4.4-sqrt(2)x^(sqrt(2))+c`