Question

calcule a integral.

$\int\limits(senx+cosx) dx$

Answer 1

$\int(\sin\,x+\cos\,x)dx=\\\\\int\sin\,x\,dx+\int\cos\,x\,dx=\\\\(-\cos\,x+c')+(\sin\,x+c'')=\\\\\boxed{\sin\,x-\cos\,x+C}$

Answer 2

$\color{dodgerblue}{\int(\sin(x)+\cos(x)dx}\\=\color{springgreen}{-\cos(x)+\sin(x)+\mathfrak{C}}\color{blue}{\checkmark}$