Question

Помогите , интегралы

Answer 1

а)

$\int\limits(5 {x}^{4} - 3 {x}^{2} + 9)dx = \frac{5 {x}^{5} }{5} - \frac{3 {x}^{3} }{3} + 9x + c = \\ = {x}^{5} - {x}^{3} + 9x + c$

б)

$\int\limits \: x \sin(x - 2) dx$

по частям:

$U= x \: \: \: \: \: \: \: \: \: \: \: \: \: dU = dx \\ dV = \sin(x - 2) dx \: \: \: \: \: \: \: V = - \cos(x - 2)$

$UV - \int\limits \: VdU = \\ = - x \cos(x - 2) + \int\limits \cos(x - 2) dx = \\ = - x \cos(x - 2) + \sin(x - 2) + c$

Answer 2

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