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

1 Answer
Gió
Mar 26, 2016

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

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