(Solved): 1 Find the r.m.s. value of the voltage spike defined by the function \( v=e^{t} \sqrt{\sin t} d t ...

1 Find the r.m.s. value of the voltage spike defined by the function \( v=e^{t} \sqrt{\sin t} d t \) between \( t=0 \) and \( t=\pi \). 2 Calculate the area of the region bounded by \( y=x e^{-x^{2}}, x=2 \) and the \( x \)-axis (see figure below)