The following question i don't know why it is incorrect.

1)\(\displaystyle \int_1^3 x^{x}dx\) n=4

\(\displaystyle x_0 = 0\)

\(\displaystyle x_1 = \frac{1}{4}\)

\(\displaystyle x_2 = \frac{2}{4}\)

\(\displaystyle x_3 = \frac{3}{4}\)

\(\displaystyle x_4 = \frac{4}{4}\)

\(\displaystyle \int_0^1 x^{x} dx = \frac{1}{12}[0+4(\frac{1}{4}^{\frac{1}{4}})+2(\frac{1}{2}^{\frac{1}{2}})+4(\frac{3}{4}^{\frac{3}{4}})+1]\)

=0.70553

book's answer is 0.7889