Question

integrais parciais f1/0 x cosy dx

Answer 1

Olá

$\displaystyle \mathsf{ \int\limits^1_0 {x\cdot cos(y)} \, dx }$

Integrando em dx... y se torna constante.

$\displaystyle \mathsf{= \left(\frac{x^2}{2}\cdot cos(y) \right) \bigg|^1_0}\\\\\\\mathsf{=\left( \frac{1^2}{2}\cdot cos(y) \right)~-~\left(\frac{0^2}{2}\cdot cos(y)\right)} \\\\\\\boxed{\mathsf{= \frac{cos(y)}{2} }}$