Объяснение:
1)
2)
![\int\limits^{32}_1 {\frac{1}{\sqrt[5]{x} } } \, dx=\int\limits^{32}_1 {x^{-\frac{1}{5}} } } \, dx=\frac{5}{4}*x^\frac{4}{5}\ |_1^{32}=\frac{5}{4}*(32^\frac{4}{5}-1^\frac{4}{5} )=\frac{5}{4}*(16-1)=\\=\frac{5*15}{4}=\frac{75}{4}=18,75.](/tpl/images/2061/4764/b38d1.png)
3)
1)3*x^(-2+1)/(-2+1)=-3/x=-3/(-2)-(-3/(-3))=3/2-1=1/2
2)∫(x^(1/5))dx=x^(1/5+1)/(1/5+1)=x^(6/5)/(6/5)=5x^(6/5)/6=
подстановка по х от 1 до 32
=5*32^(6/5)/6-5*1/6=5*64/6-5/6=(320-5)/6=315/6=52.5
3)∫(x^6+2x^4+x^2)dx=x^7/7+2*x^5/5+x^3/3=x^7/7+0.4x^5+x^3/3=
подстановка по х от 1 до 3
=3^7/7+0.4*3^5+3^3/3-1/7-0.4-1/3=312 3/7+97.2+9-1/7-0.4-1/3
