Question

Find \[ \int^{1}_{0} \frac{dx}{1+x^3} \] using a reduction formula.
@ganeshie8

Answer 1

TO check your answer
https://www.wolframalpha.com/input/?i=Integrate+1%2F(1%2Bx%5E3)

Answer 2

Use
\[
\frac{1}{x^3+1}=\frac{2-x}{3 \left(x^2-x+1\right)}+\frac{1}{3 (x+1)}
\]

Answer 3

I have to make use of a reduction formula