$\frac{x^m \sin n x}{n}+\frac{m(m-1) x^{m-1} \cos n x}{n^2}$

$\frac{x^m \cos n x}{n}+\frac{x^{m-1} m(m-1)}{n^2} \sin n x$

$\frac{m}{n} \sin n x+\frac{m}{n^2} x^{m-1} \cos n x$

$\frac{x^m \sin n x}{n}+\frac{m}{n^2} x^{m-1} \cos n x$

2

4

1

$4 / 5$

$\frac{1}{2} \sin ^2 x$

$\frac{1}{2} \cos ^2 x$

$-\frac{1}{2} \cos 2 x$

$-\frac{1}{2} \sin 2 x$

$\frac{x}{2} \sqrt{25 x^2+9}+\frac{11}{10} \sinh ^{-1}\left(\frac{5 x}{3}\right)+C$

$\frac{x}{2} \sqrt{25 x^2+9}-\frac{7}{10} \log \left(\frac{5 x+\sqrt{25 x^2+9}}{3}\right)+C$

$\frac{x}{2} \sqrt{25 x^2+9}+\frac{7}{10} \sinh ^{-1}\left(\frac{5 x}{3}\right)+C$

$\frac{x}{2} \sqrt{25 x^2+9}+\frac{11}{10} \log \left(\frac{5 x-\sqrt{25 x^2+9}}{3}\right)+C$