Спервообразной в общем виде f(x)=(5/2корень из(3x+2))+(1/sin^2(4x)) f(x)=5sin(x/5)+cos(2x)

)\int\ {( 9x^{8}+8 x^{7}+5 )} \, dx = \frac{9}{9} x^{9}+ \frac{8}{8} x^{8}+5x+c= x^{9}+ x^{8}+5x+c 2) \int\ ( \frac{5}{2} \sqrt{3x+2}+ \frac{1}{sin^{2}(4x) }) } \, dx= \int\ {\frac{5}{2} \sqrt{3x+2} \, dx + \int\ {\frac{1}{sin^{2}(4x)} \, dx = \frac{5}{9} \sqrt[2]{(3x+2})^{3}- \frac{ctg4x}{4}+c 3) \int\ {(5sin( \frac{x}{5} )+cos2x)} \, dx = \int\ {5sin( \frac{x}{5})} \, dx + \int\ {cos2x} \, dx = \frac{1}{2}sin2x-25cos \frac{x}{5}+c