Can someone help me with this \(\int \:e^{2x}\sin \left(x\right)dx\) , I don`t understand how \(u=e^{2x}\) is equal \(du=2e^{2x}dx\) step by step pleas.

Sorry and this \(\int \:\sqrt{8+2x-x^2}\:dx\)

Can someone help me with this , I don`t understand how is equal step by step pleas.