Question

Интегрирование
Задание во вложениях

Answer 1

1)=2/3*√x³-2√x=16/3-4-2/3+2=8/3
2)=x³-4x²+4x=27-36+12-8+16-8=3
3)sinx=t⇒cosxdx=dt
=$intlimits {e^t} , dt =e^t=e ^{sinx} = e^{1/2} -1$
4)=1/2*sin(2x-π/6)=1/2sinπ/3-1/2sin(-π/2)=1/2*√3/2-1/2*(-1)=√3/2+1/2